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28815036384 = 2537911513301
BaseRepresentation
bin11010110101100000…
…101000111111100000
32202101011120111212210
4122311200220333200
5433003122131014
621123142122120
72040030524301
oct326540507740
982334514783
1028815036384
1111247378362
125702120340
132942a369b4
141574d107a8
15b39aad859
hex6b5828fe0

28815036384 has 96 divisors (see below), whose sum is σ = 76686704640. Its totient is φ = 9472320000.

The previous prime is 28815036311. The next prime is 28815036389. The reversal of 28815036384 is 48363051882.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×288150363842 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28815036389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8727534 + ... + 8730834.

It is an arithmetic number, because the mean of its divisors is an integer number (798819840).

Almost surely, 228815036384 is an apocalyptic number.

28815036384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28815036384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38343352320).

28815036384 is an abundant number, since it is smaller than the sum of its proper divisors (47871668256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28815036384 is a wasteful number, since it uses less digits than its factorization.

28815036384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 28815036384 in words is "twenty-eight billion, eight hundred fifteen million, thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1151 1264 1896 2302 2528 3301 3453 3792 4604 6602 6906 7584 9208 9903 13204 13812 18416 19806 26408 27624 36832 39612 52816 55248 79224 90929 105632 110496 158448 181858 260779 272787 316896 363716 521558 545574 727432 782337 1043116 1091148 1454864 1564674 2086232 2182296 2909728 3129348 3799451 4172464 4364592 6258696 7598902 8344928 8729184 11398353 12517392 15197804 22796706 25034784 30395608 45593412 60791216 91186824 121582432 182373648 300156629 364747296 600313258 900469887 1200626516 1800939774 2401253032 3601879548 4802506064 7203759096 9605012128 14407518192 28815036384