28864975104 has 576 divisors, whose sum is σ = 108786585600. Its totient is φ = 7349501952.

The previous prime is 28864975081. The next prime is 28864975127. The reversal of 28864975104 is 40157946882.

It is a happy number.

28864975104 is a `hidden beast` number, since 2 + 8 + 86 + 49 + 7 + 510 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (28864975081) and next prime (28864975127).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15627109 + ... + 15628955.

It is an arithmetic number, because the mean of its divisors is an integer number (188865600).

Almost surely, 2^28864975104 is an apocalyptic number.

28864975104 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 28864975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54393292800).

28864975104 is an abundant number, since it is smaller than the sum of its proper divisors (79921610496).

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

28864975104 is a wasteful number, since it uses less digits than its factorization.

28864975104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 28864975104 in words is "twenty-eight billion, eight hundred sixty-four million, nine hundred seventy-five thousand, one hundred four".