97828328 has 32 divisors (see below), whose sum is σ = 198667560. Its totient is φ = 44893440.

The previous prime is 97828327. The next prime is 97828331. The reversal of 97828328 is 82382879.

It can be written as a sum of positive squares in 4 ways, for example, as 33154564 + 64673764 = 5758^2 + 8042^2 .

It is a super-3 number, since 3×97828328³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (97828327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16226 + ... + 21422.

Almost surely, 2^97828328 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 97828328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99333780).

97828328 is an abundant number, since it is smaller than the sum of its proper divisors (100839232).

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

97828328 is a wasteful number, since it uses less digits than its factorization.

97828328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5397 (or 5393 counting only the distinct ones).

The product of its digits is 387072, while the sum is 47.

The square root of 97828328 is about 9890.8203906451. The cubic root of 97828328 is about 460.7742600117.

The spelling of 97828328 in words is "ninety-seven million, eight hundred twenty-eight thousand, three hundred twenty-eight".