88367928264 has 256 divisors, whose sum is σ = 311226624000. Its totient is φ = 22563429120.

The previous prime is 88367928241. The next prime is 88367928269. The reversal of 88367928264 is 46282976388.

88367928264 is a `hidden beast` number, since 8 + 8 + 367 + 9 + 2 + 8 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (88367928269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 936262 + ... + 1026314.

It is an arithmetic number, because the mean of its divisors is an integer number (1215729000).

Almost surely, 2^88367928264 is an apocalyptic number.

88367928264 is a gapful number since it is divisible by the number (84) 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 88367928264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155613312000).

88367928264 is an abundant number, since it is smaller than the sum of its proper divisors (222858695736).

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

88367928264 is a wasteful number, since it uses less digits than its factorization.

88367928264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90145 (or 90135 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 88367928264 in words is "eighty-eight billion, three hundred sixty-seven million, nine hundred twenty-eight thousand, two hundred sixty-four".