28277179660800 has 2880 divisors, whose sum is σ = 124996205980800. Its totient is φ = 6238981324800.

The previous prime is 28277179660777. The next prime is 28277179660811. The reversal of 28277179660800 is 806697177282.

28277179660800 is a `hidden beast` number, since 2 + 8 + 2 + 7 + 7 + 17 + 9 + 6 + 608 + 0 + 0 = 666.

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

It is a super-2 number, since 2×28277179660800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 96509145454 + ... + 96509145746.

It is an arithmetic number, because the mean of its divisors is an integer number (43401460410).

Almost surely, 2^{28277179660800} is an apocalyptic number.

28277179660800 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 28277179660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62498102990400).

28277179660800 is an abundant number, since it is smaller than the sum of its proper divisors (96719026320000).

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

28277179660800 is a wasteful number, since it uses less digits than its factorization.

28277179660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 28277179660800 in words is "twenty-eight trillion, two hundred seventy-seven billion, one hundred seventy-nine million, six hundred sixty thousand, eight hundred".