90008628 has 48 divisors (see below), whose sum is σ = 216336960. Its totient is φ = 29113344.

The previous prime is 90008627. The next prime is 90008641. The reversal of 90008628 is 82680009.

It is a super-2 number, since 2×90008628² = 16203106228884768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90008621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60963 + ... + 62421.

It is an arithmetic number, because the mean of its divisors is an integer number (4507020).

Almost surely, 2^90008628 is an apocalyptic number.

It is an amenable number.

90008628 is an abundant number, since it is smaller than the sum of its proper divisors (126328332).

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

90008628 is a wasteful number, since it uses less digits than its factorization.

90008628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 90008628 is about 9487.2877051347. The cubic root of 90008628 is about 448.1547947760.

The spelling of 90008628 in words is "ninety million, eight thousand, six hundred twenty-eight".