88465440528 has 240 divisors, whose sum is σ = 265508006400. Its totient is φ = 27435663360.

The previous prime is 88465440527. The next prime is 88465440529. The reversal of 88465440528 is 82504456488.

88465440528 is a `hidden beast` number, since 8 + 8 + 46 + 544 + 0 + 52 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (88465440527) and next prime (88465440529).

It is a super-2 number, since 2×88465440528² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (88465440527) 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 47 ways as a sum of consecutive naturals, for example, 33268863 + ... + 33271521.

It is an arithmetic number, because the mean of its divisors is an integer number (1106283360).

Almost surely, 2^88465440528 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 88465440528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132754003200).

88465440528 is an abundant number, since it is smaller than the sum of its proper divisors (177042565872).

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

88465440528 is a wasteful number, since it uses less digits than its factorization.

88465440528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 88465440528 in words is "eighty-eight billion, four hundred sixty-five million, four hundred forty thousand, five hundred twenty-eight".