97838928 has 100 divisors (see below), whose sum is σ = 308962368. Its totient is φ = 29643840.

The previous prime is 97838921. The next prime is 97838929. The reversal of 97838928 is 82983879.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97838921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10825 + ... + 17687.

Almost surely, 2^97838928 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 97838928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154481184).

97838928 is an abundant number, since it is smaller than the sum of its proper divisors (211123440).

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

97838928 is a wasteful number, since it uses less digits than its factorization.

97838928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6894 (or 6879 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 97838928 is about 9891.3562265242. The cubic root of 97838928 is about 460.7909015131.

The spelling of 97838928 in words is "ninety-seven million, eight hundred thirty-eight thousand, nine hundred twenty-eight".