97628544 has 256 divisors, whose sum is σ = 323870400. Its totient is φ = 28753920.

The previous prime is 97628507. The next prime is 97628549. The reversal of 97628544 is 44582679.

It is a happy number.

Its product of digits (483840) is a multiple of the sum of its prime divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 97628544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97628549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1842022 + ... + 1842074.

Almost surely, 2^97628544 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 97628544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161935200).

97628544 is an abundant number, since it is smaller than the sum of its proper divisors (226241856).

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

97628544 is a wasteful number, since it uses less digits than its factorization.

97628544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 97628544 is about 9880.7157635467. The cubic root of 97628544 is about 460.4603834395.

The spelling of 97628544 in words is "ninety-seven million, six hundred twenty-eight thousand, five hundred forty-four".