28160914600 has 768 divisors, whose sum is σ = 91194163200. Its totient is φ = 7838208000.

The previous prime is 28160914571. The next prime is 28160914601. The reversal of 28160914600 is 641906182.

It is a happy number.

It is a super-2 number, since 2×28160914600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 28160914600.

It is not an unprimeable number, because it can be changed into a prime (28160914601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 396632565 + ... + 396632635.

It is an arithmetic number, because the mean of its divisors is an integer number (118742400).

Almost surely, 2^28160914600 is an apocalyptic number.

28160914600 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 28160914600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45597081600).

28160914600 is an abundant number, since it is smaller than the sum of its proper divisors (63033248600).

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

28160914600 is a wasteful number, since it uses less digits than its factorization.

28160914600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 28160914600 in words is "twenty-eight billion, one hundred sixty million, nine hundred fourteen thousand, six hundred".