90828252 has 36 divisors (see below), whose sum is σ = 234482976. Its totient is φ = 29631360.

The previous prime is 90828239. The next prime is 90828253. The reversal of 90828252 is 25282809.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×90828252² = 16499542722751008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90828253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25149 + ... + 28532.

It is an arithmetic number, because the mean of its divisors is an integer number (6513416).

Almost surely, 2^90828252 is an apocalyptic number.

It is an amenable number.

90828252 is an abundant number, since it is smaller than the sum of its proper divisors (143654724).

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

90828252 is a wasteful number, since it uses less digits than its factorization.

90828252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53738 (or 53733 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 90828252 is about 9530.3857214700. The cubic root of 90828252 is about 449.5109947269.

The spelling of 90828252 in words is "ninety million, eight hundred twenty-eight thousand, two hundred fifty-two".