28547628415200 has 864 divisors, whose sum is σ = 106350405138432. Its totient is φ = 7195608576000.

The previous prime is 28547628415151. The next prime is 28547628415289. The reversal of 28547628415200 is 251482674582.

28547628415200 is a `hidden beast` number, since 2 + 8 + 5 + 4 + 7 + 628 + 4 + 1 + 5 + 2 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2685313885 + ... + 2685324515.

It is an arithmetic number, because the mean of its divisors is an integer number (123090746688).

Almost surely, 2^{28547628415200} is an apocalyptic number.

28547628415200 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 28547628415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53175202569216).

28547628415200 is an abundant number, since it is smaller than the sum of its proper divisors (77802776723232).

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

28547628415200 is a wasteful number, since it uses less digits than its factorization.

28547628415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10968 (or 10952 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 28547628415200 in words is "twenty-eight trillion, five hundred forty-seven billion, six hundred twenty-eight million, four hundred fifteen thousand, two hundred".