28863976632624 has 480 divisors, whose sum is σ = 97878860352000. Its totient is φ = 7764521103360.

The previous prime is 28863976632619. The next prime is 28863976632697. The reversal of 28863976632624 is 42623667936882.

28863976632624 is a `hidden beast` number, since 2 + 88 + 63 + 97 + 66 + 326 + 24 = 666.

It is a super-2 number, since 2×28863976632624² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3234779427 + ... + 3234788349.

It is an arithmetic number, because the mean of its divisors is an integer number (203914292400).

Almost surely, 2^{28863976632624} is an apocalyptic number.

28863976632624 is a gapful number since it is divisible by the number (24) 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 28863976632624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48939430176000).

28863976632624 is an abundant number, since it is smaller than the sum of its proper divisors (69014883719376).

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

28863976632624 is a wasteful number, since it uses less digits than its factorization.

28863976632624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11713 (or 11704 counting only the distinct ones).

The product of its digits is 1504935936, while the sum is 72.

The spelling of 28863976632624 in words is "twenty-eight trillion, eight hundred sixty-three billion, nine hundred seventy-six million, six hundred thirty-two thousand, six hundred twenty-four".