90828738 has 144 divisors (see below), whose sum is σ = 268003008. Its totient is φ = 21470400.

The previous prime is 90828737. The next prime is 90828743. The reversal of 90828738 is 83782809.

It is a junction number, because it is equal to n+sod(n) for n = 90828693 and 90828702.

It is not an unprimeable number, because it can be changed into a prime (90828737) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1279243 + ... + 1279313.

It is an arithmetic number, because the mean of its divisors is an integer number (1861132).

Almost surely, 2^90828738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90828738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134001504).

90828738 is an abundant number, since it is smaller than the sum of its proper divisors (177174270).

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

90828738 is a wasteful number, since it uses less digits than its factorization.

90828738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 90828738 is about 9530.4112188300. The cubic root of 90828738 is about 449.5117964670.

It can be divided in two parts, 908 and 28738, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 90828738 in words is "ninety million, eight hundred twenty-eight thousand, seven hundred thirty-eight".