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28359912240 = 24335112195711
BaseRepresentation
bin11010011010011000…
…011110101100110000
32201012110011210221000
4122122120132230300
5431040114142430
621010043202000
72022533163612
oct323230365460
981173153830
1028359912240
1111033481900
1255b5816300
13289c66487a
1415306badb2
15b0eb5be60
hex69a61eb30

28359912240 has 480 divisors, whose sum is σ = 113042764800. Its totient is φ = 6512140800.

The previous prime is 28359912233. The next prime is 28359912241. The reversal of 28359912240 is 4221995382.

28359912240 is a `hidden beast` number, since 2 + 8 + 3 + 599 + 12 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28359912241) 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 95 ways as a sum of consecutive naturals, for example, 4962985 + ... + 4968695.

It is an arithmetic number, because the mean of its divisors is an integer number (235505760).

Almost surely, 228359912240 is an apocalyptic number.

28359912240 is a gapful number since it is divisible by the number (20) 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 28359912240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56521382400).

28359912240 is an abundant number, since it is smaller than the sum of its proper divisors (84682852560).

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

28359912240 is a wasteful number, since it uses less digits than its factorization.

28359912240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 28359912240 in words is "twenty-eight billion, three hundred fifty-nine million, nine hundred twelve thousand, two hundred forty".