97926528 has 128 divisors (see below), whose sum is σ = 314910720. Its totient is φ = 26320896.

The previous prime is 97926497. The next prime is 97926541. The reversal of 97926528 is 82562979.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×97926528² = 19179209772269568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44625 + ... + 46767.

It is an arithmetic number, because the mean of its divisors is an integer number (2460240).

Almost surely, 2^97926528 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 97926528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157455360).

97926528 is an abundant number, since it is smaller than the sum of its proper divisors (216984192).

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

97926528 is a wasteful number, since it uses less digits than its factorization.

97926528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2172 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 97926528 is about 9895.7833444351. The cubic root of 97926528 is about 460.9283834022.

The spelling of 97926528 in words is "ninety-seven million, nine hundred twenty-six thousand, five hundred twenty-eight".