91982628 has 60 divisors (see below), whose sum is σ = 243817420. Its totient is φ = 30233088.

The previous prime is 91982609. The next prime is 91982663. The reversal of 91982628 is 82628919.

91982628 is a `hidden beast` number, since 9 + 19 + 8 + 2 + 628 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59629284 + 32353344 = 7722^2 + 5688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21708 + ... + 25596.

Almost surely, 2^91982628 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 91982628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121908710).

91982628 is an abundant number, since it is smaller than the sum of its proper divisors (151834792).

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

91982628 is a wasteful number, since it uses less digits than its factorization.

91982628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3978 (or 3967 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 91982628 is about 9590.7574257720. The cubic root of 91982628 is about 451.4073274771.

The spelling of 91982628 in words is "ninety-one million, nine hundred eighty-two thousand, six hundred twenty-eight".