91028800 has 42 divisors (see below), whose sum is σ = 223991678. Its totient is φ = 36410880.

The previous prime is 91028797. The next prime is 91028809. The reversal of 91028800 is 882019.

It can be written as a sum of positive squares in 3 ways, for example, as 246016 + 90782784 = 496^2 + 9528^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91028809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26847 + ... + 30046.

Almost surely, 2^91028800 is an apocalyptic number.

It is an amenable number.

91028800 is an abundant number, since it is smaller than the sum of its proper divisors (132962878).

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

91028800 is a wasteful number, since it uses less digits than its factorization.

91028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56915 (or 56900 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 91028800 is about 9540.9014249179. The cubic root of 91028800 is about 449.8415903335.

The spelling of 91028800 in words is "ninety-one million, twenty-eight thousand, eight hundred".