97528433376 has 192 divisors, whose sum is σ = 288644622336. Its totient is φ = 28566067200.

The previous prime is 97528433371. The next prime is 97528433393. The reversal of 97528433376 is 67333482579.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97528433371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41802706 + ... + 41805038.

It is an arithmetic number, because the mean of its divisors is an integer number (1503357408).

Almost surely, 2^97528433376 is an apocalyptic number.

97528433376 is a gapful number since it is divisible by the number (96) 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 97528433376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144322311168).

97528433376 is an abundant number, since it is smaller than the sum of its proper divisors (191116188960).

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

97528433376 is a wasteful number, since it uses less digits than its factorization.

97528433376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3665 (or 3657 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 57.

The spelling of 97528433376 in words is "ninety-seven billion, five hundred twenty-eight million, four hundred thirty-three thousand, three hundred seventy-six".