28888070795136 has 1024 divisors, whose sum is σ = 101861867520000. Its totient is φ = 7886481408000.

The previous prime is 28888070795131. The next prime is 28888070795137. The reversal of 28888070795136 is 63159707088882.

28888070795136 is a `hidden beast` number, since 28 + 8 + 8 + 80 + 7 + 0 + 7 + 9 + 513 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28888070795131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48066673236 + ... + 48066673836.

It is an arithmetic number, because the mean of its divisors is an integer number (99474480000).

Almost surely, 2^{28888070795136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28888070795136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50930933760000).

28888070795136 is an abundant number, since it is smaller than the sum of its proper divisors (72973796724864).

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

28888070795136 is a wasteful number, since it uses less digits than its factorization.

28888070795136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 28888070795136 in words is "twenty-eight trillion, eight hundred eighty-eight billion, seventy million, seven hundred ninety-five thousand, one hundred thirty-six".