28690129060992 has 384 divisors, whose sum is σ = 96623615088000. Its totient is φ = 8000211566592.

The previous prime is 28690129060919. The next prime is 28690129061021. The reversal of 28690129060992 is 29906092109682.

28690129060992 is a `hidden beast` number, since 2 + 8 + 6 + 9 + 0 + 12 + 9 + 0 + 609 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 446931234 + ... + 446995422.

It is an arithmetic number, because the mean of its divisors is an integer number (251623997625).

Almost surely, 2^{28690129060992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28690129060992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48311807544000).

28690129060992 is an abundant number, since it is smaller than the sum of its proper divisors (67933486027008).

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

28690129060992 is a wasteful number, since it uses less digits than its factorization.

28690129060992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65548 (or 65533 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 28690129060992 in words is "twenty-eight trillion, six hundred ninety billion, one hundred twenty-nine million, sixty thousand, nine hundred ninety-two".