28178137128960 has 3360 divisors, whose sum is σ = 129083832662400. Its totient is φ = 5827111944192.

The previous prime is 28178137128943. The next prime is 28178137128989. The reversal of 28178137128960 is 6982173187182.

28178137128960 is a `hidden beast` number, since 2 + 8 + 178 + 1 + 371 + 2 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×28178137128960² (a number of 28 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 141598678941 + ... + 141598679139.

It is an arithmetic number, because the mean of its divisors is an integer number (38417807340).

Almost surely, 2^{28178137128960} is an apocalyptic number.

28178137128960 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 28178137128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64541916331200).

28178137128960 is an abundant number, since it is smaller than the sum of its proper divisors (100905695533440).

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

28178137128960 is a wasteful number, since it uses less digits than its factorization.

28178137128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 28178137128960 in words is "twenty-eight trillion, one hundred seventy-eight billion, one hundred thirty-seven million, one hundred twenty-eight thousand, nine hundred sixty".