28570471372800 has 2880 divisors, whose sum is σ = 127404845568000. Its totient is φ = 6190143897600.

The previous prime is 28570471372759. The next prime is 28570471372811. The reversal of 28570471372800 is 827317407582.

28570471372800 is a `hidden beast` number, since 2 + 8 + 570 + 47 + 1 + 3 + 7 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 47696946901 + ... + 47696947499.

It is an arithmetic number, because the mean of its divisors is an integer number (44237793600).

Almost surely, 2^{28570471372800} is an apocalyptic number.

28570471372800 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 28570471372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63702422784000).

28570471372800 is an abundant number, since it is smaller than the sum of its proper divisors (98834374195200).

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

28570471372800 is a wasteful number, since it uses less digits than its factorization.

28570471372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 28570471372800 in words is "twenty-eight trillion, five hundred seventy billion, four hundred seventy-one million, three hundred seventy-two thousand, eight hundred".