28999676160 has 576 divisors, whose sum is σ = 126670440960. Its totient is φ = 6117949440.

The previous prime is 28999676143. The next prime is 28999676171. The reversal of 28999676160 is 6167699982.

It is a happy number.

28999676160 is a `hidden beast` number, since 2 + 8 + 9 + 9 + 9 + 6 + 7 + 616 + 0 = 666.

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 (63).

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, 3140350 + ... + 3149570.

It is an arithmetic number, because the mean of its divisors is an integer number (219913960).

Almost surely, 2^28999676160 is an apocalyptic number.

28999676160 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 28999676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63335220480).

28999676160 is an abundant number, since it is smaller than the sum of its proper divisors (97670764800).

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

28999676160 is a wasteful number, since it uses less digits than its factorization.

28999676160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9271 (or 9251 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 28999676160 in words is "twenty-eight billion, nine hundred ninety-nine million, six hundred seventy-six thousand, one hundred sixty".