28737011160 has 576 divisors, whose sum is σ = 114190352640. Its totient is φ = 6219417600.

The previous prime is 28737011119. The next prime is 28737011161. The reversal of 28737011160 is 6111073782.

28737011160 is a `hidden beast` number, since 287 + 370 + 1 + 1 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28737011161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17553862 + ... + 17555498.

It is an arithmetic number, because the mean of its divisors is an integer number (198247140).

Almost surely, 2^28737011160 is an apocalyptic number.

28737011160 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 28737011160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57095176320).

28737011160 is an abundant number, since it is smaller than the sum of its proper divisors (85453341480).

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

28737011160 is a wasteful number, since it uses less digits than its factorization.

28737011160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 28737011160 in words is "twenty-eight billion, seven hundred thirty-seven million, eleven thousand, one hundred sixty".