88272592128 has 630 divisors, whose sum is σ = 309755738754. Its totient is φ = 25092716544.

The previous prime is 88272592117. The next prime is 88272592141. The reversal of 88272592128 is 82129527288.

88272592128 is a `hidden beast` number, since 8 + 8 + 27 + 2 + 592 + 1 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87824507904 + 448084224 = 296352^2 + 21168^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 448084126 + ... + 448084322.

Almost surely, 2^88272592128 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 88272592128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154877869377).

88272592128 is an abundant number, since it is smaller than the sum of its proper divisors (221483146626).

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

88272592128 is an frugal number, since it uses more digits than its factorization.

88272592128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 209 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 88272592128 in words is "eighty-eight billion, two hundred seventy-two million, five hundred ninety-two thousand, one hundred twenty-eight".