28165107600 has 360 divisors, whose sum is σ = 112301875712. Its totient is φ = 6403276800.

The previous prime is 28165107559. The next prime is 28165107601. The reversal of 28165107600 is 670156182.

28165107600 is a `hidden beast` number, since 2 + 81 + 6 + 510 + 7 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×28165107600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28165107601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4860705 + ... + 4866495.

Almost surely, 2^28165107600 is an apocalyptic number.

28165107600 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 28165107600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56150937856).

28165107600 is an abundant number, since it is smaller than the sum of its proper divisors (84136768112).

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

28165107600 is a wasteful number, since it uses less digits than its factorization.

28165107600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6015 (or 6001 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 28165107600 in words is "twenty-eight billion, one hundred sixty-five million, one hundred seven thousand, six hundred".