90342828 has 72 divisors (see below), whose sum is σ = 247495248. Its totient is φ = 27675648.

The previous prime is 90342817. The next prime is 90342839. The reversal of 90342828 is 82824309.

It is an interprime number because it is at equal distance from previous prime (90342817) and next prime (90342839).

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

It is a junction number, because it is equal to n+sod(n) for n = 90342792 and 90342801.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24600 + ... + 28032.

It is an arithmetic number, because the mean of its divisors is an integer number (3437434).

Almost surely, 2^90342828 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 90342828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123747624).

90342828 is an abundant number, since it is smaller than the sum of its proper divisors (157152420).

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

90342828 is a wasteful number, since it uses less digits than its factorization.

90342828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 90342828 is about 9504.8844285451. The cubic root of 90342828 is about 448.7087725772.

The spelling of 90342828 in words is "ninety million, three hundred forty-two thousand, eight hundred twenty-eight".