28674779328000 has 3840 divisors, whose sum is σ = 126518302310400. Its totient is φ = 6345813196800.

The previous prime is 28674779327969. The next prime is 28674779328017. The reversal of 28674779328000 is 82397747682.

28674779328000 is a `hidden beast` number, since 2 + 86 + 7 + 477 + 9 + 3 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×28674779328000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 225785663937 + ... + 225785664063.

It is an arithmetic number, because the mean of its divisors is an integer number (32947474560).

Almost surely, 2^{28674779328000} is an apocalyptic number.

28674779328000 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 28674779328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63259151155200).

28674779328000 is an abundant number, since it is smaller than the sum of its proper divisors (97843522982400).

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

28674779328000 is a wasteful number, since it uses less digits than its factorization.

28674779328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 28674779328000 in words is "twenty-eight trillion, six hundred seventy-four billion, seven hundred seventy-nine million, three hundred twenty-eight thousand".