97528480 has 144 divisors (see below), whose sum is σ = 277046784. Its totient is φ = 31749120.

The previous prime is 97528471. The next prime is 97528481. The reversal of 97528480 is 8482579.

It is a super-2 number, since 2×97528480² = 19023608822220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97528481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1840134 + ... + 1840186.

It is an arithmetic number, because the mean of its divisors is an integer number (1923936).

Almost surely, 2^97528480 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 97528480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138523392).

97528480 is an abundant number, since it is smaller than the sum of its proper divisors (179518304).

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

97528480 is a wasteful number, since it uses less digits than its factorization.

97528480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 97528480 is about 9875.6508646266. The cubic root of 97528480 is about 460.3030139636.

The spelling of 97528480 in words is "ninety-seven million, five hundred twenty-eight thousand, four hundred eighty".