97828016 has 120 divisors (see below), whose sum is σ = 235505760. Its totient is φ = 39262080.

The previous prime is 97828007. The next prime is 97828021. The reversal of 97828016 is 61082879.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4253381 + ... + 4253403.

It is an arithmetic number, because the mean of its divisors is an integer number (1962548).

Almost surely, 2^97828016 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 97828016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117752880).

97828016 is an abundant number, since it is smaller than the sum of its proper divisors (137677744).

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

97828016 is a wasteful number, since it uses less digits than its factorization.

97828016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 97828016 is about 9890.8046184322. The cubic root of 97828016 is about 460.7737701682.

The spelling of 97828016 in words is "ninety-seven million, eight hundred twenty-eight thousand, sixteen".