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28820264 = 23112191567
BaseRepresentation
bin110110111110…
…0001100101000
32000020012222012
41231330030220
524334222024
62505415052
7466653044
oct155741450
960205865
1028820264
11152a5100
12979a488
135c81015
143b83024
1527e450e
hex1b7c328

28820264 has 48 divisors (see below), whose sum is σ = 62563200. Its totient is φ = 12402720.

The previous prime is 28820263. The next prime is 28820269. The reversal of 28820264 is 46202882.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 28820264.

It is not an unprimeable number, because it can be changed into a prime (28820263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17609 + ... + 19175.

It is an arithmetic number, because the mean of its divisors is an integer number (1303400).

Almost surely, 228820264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28820264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31281600).

28820264 is an abundant number, since it is smaller than the sum of its proper divisors (33742936).

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

28820264 is a wasteful number, since it uses less digits than its factorization.

28820264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 28820264 is about 5368.4508007432. The cubic root of 28820264 is about 306.5956472804.

The spelling of 28820264 in words is "twenty-eight million, eight hundred twenty thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 418 484 836 968 1567 1672 2299 3134 4598 6268 9196 12536 17237 18392 29773 34474 59546 68948 119092 137896 189607 238184 327503 379214 655006 758428 1310012 1516856 2620024 3602533 7205066 14410132 28820264