28056417022800 has 150 divisors (see below), whose sum is σ = 100692229370238. Its totient is φ = 7481711197440.

The previous prime is 28056417022783. The next prime is 28056417022807. The reversal of 28056417022800 is 822071465082.

28056417022800 is a `hidden beast` number, since 2 + 8 + 0 + 5 + 6 + 417 + 0 + 228 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8096323923216 + 19960093099584 = 2845404^2 + 4467672^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28056417022807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 432936999 + ... + 433001798.

Almost surely, 2^{28056417022800} is an apocalyptic number.

28056417022800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28056417022800 is an abundant number, since it is smaller than the sum of its proper divisors (72635812347438).

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

28056417022800 is a wasteful number, since it uses less digits than its factorization.

28056417022800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865938827 (or 865938807 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

Adding to 28056417022800 its reverse (822071465082), we get a palindrome (28878488487882).

The spelling of 28056417022800 in words is "twenty-eight trillion, fifty-six billion, four hundred seventeen million, twenty-two thousand, eight hundred".