28669727520 has 1152 divisors, whose sum is σ = 128076318720. Its totient is φ = 5945425920.

The previous prime is 28669727479. The next prime is 28669727531. The reversal of 28669727520 is 2572796682.

28669727520 is a `hidden beast` number, since 2 + 8 + 6 + 6 + 97 + 27 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111555232 + ... + 111555488.

It is an arithmetic number, because the mean of its divisors is an integer number (111177360).

Almost surely, 2^28669727520 is an apocalyptic number.

28669727520 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 28669727520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64038159360).

28669727520 is an abundant number, since it is smaller than the sum of its proper divisors (99406591200).

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

28669727520 is a wasteful number, since it uses less digits than its factorization.

28669727520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 28669727520 in words is "twenty-eight billion, six hundred sixty-nine million, seven hundred twenty-seven thousand, five hundred twenty".