28570003113600 has 1152 divisors, whose sum is σ = 116032076596800. Its totient is φ = 6635520000000.

The previous prime is 28570003113559. The next prime is 28570003113649. The reversal of 28570003113600 is 631130007582.

28570003113600 is a `hidden beast` number, since 2 + 8 + 5 + 7 + 0 + 0 + 0 + 31 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×28570003113600² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1785505600 + ... + 1785521600.

Almost surely, 2^{28570003113600} is an apocalyptic number.

28570003113600 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 28570003113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58016038298400).

28570003113600 is an abundant number, since it is smaller than the sum of its proper divisors (87462073483200).

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

28570003113600 is a wasteful number, since it uses less digits than its factorization.

28570003113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16314 (or 16294 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 28570003113600 in words is "twenty-eight trillion, five hundred seventy billion, three million, one hundred thirteen thousand, six hundred".