97829928 has 96 divisors (see below), whose sum is σ = 307070400. Its totient is φ = 27558144.

The previous prime is 97829911. The next prime is 97829929. The reversal of 97829928 is 82992879.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (97829929) 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 23 ways as a sum of consecutive naturals, for example, 35463 + ... + 38121.

It is an arithmetic number, because the mean of its divisors is an integer number (3198650).

Almost surely, 2^97829928 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 97829928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153535200).

97829928 is an abundant number, since it is smaller than the sum of its proper divisors (209240472).

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

97829928 is a wasteful number, since it uses less digits than its factorization.

97829928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2744 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 97829928 is about 9890.9012733926. The cubic root of 97829928 is about 460.7767720135.

The spelling of 97829928 in words is "ninety-seven million, eight hundred twenty-nine thousand, nine hundred twenty-eight".