90828416 has 128 divisors (see below), whose sum is σ = 224726400. Its totient is φ = 35684352.

The previous prime is 90828389. The next prime is 90828421. The reversal of 90828416 is 61482809.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 90828416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1020500 + ... + 1020588.

It is an arithmetic number, because the mean of its divisors is an integer number (1755675).

Almost surely, 2^90828416 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 90828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112363200).

90828416 is an abundant number, since it is smaller than the sum of its proper divisors (133897984).

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

90828416 is a wasteful number, since it uses less digits than its factorization.

90828416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 90828416 is about 9530.3943255250. The cubic root of 90828416 is about 449.5112652733.

The spelling of 90828416 in words is "ninety million, eight hundred twenty-eight thousand, four hundred sixteen".