97895728 has 120 divisors (see below), whose sum is σ = 236636640. Its totient is φ = 39029760.

The previous prime is 97895719. The next prime is 97895731. The reversal of 97895728 is 82759879.

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 23 ways as a sum of consecutive naturals, for example, 1099908 + ... + 1099996.

It is an arithmetic number, because the mean of its divisors is an integer number (1971972).

Almost surely, 2^97895728 is an apocalyptic number.

97895728 is a gapful number since it is divisible by the number (98) 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 97895728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118318320).

97895728 is an abundant number, since it is smaller than the sum of its proper divisors (138740912).

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

97895728 is a wasteful number, since it uses less digits than its factorization.

97895728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 55.

The square root of 97895728 is about 9894.2270036623. The cubic root of 97895728 is about 460.8800543704.

The spelling of 97895728 in words is "ninety-seven million, eight hundred ninety-five thousand, seven hundred twenty-eight".