28388828160 has 1320 divisors, whose sum is σ = 130112953344. Its totient is φ = 5852528640.

The previous prime is 28388828147. The next prime is 28388828177. The reversal of 28388828160 is 6182888382.

28388828160 is a `hidden beast` number, since 28 + 388 + 82 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

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

It is a junction number, because it is equal to n+sod(n) for n = 28388828097 and 28388828106.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 223534017 + ... + 223534143.

Almost surely, 2^28388828160 is an apocalyptic number.

28388828160 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 28388828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65056476672).

28388828160 is an abundant number, since it is smaller than the sum of its proper divisors (101724125184).

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

28388828160 is a wasteful number, since it uses less digits than its factorization.

28388828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 28388828160 in words is "twenty-eight billion, three hundred eighty-eight million, eight hundred twenty-eight thousand, one hundred sixty".