10028628 has 36 divisors (see below), whose sum is σ = 26038740. Its totient is φ = 3252096.

The previous prime is 10028587. The next prime is 10028653. The reversal of 10028628 is 82682001.

10028628 is a `hidden beast` number, since 10 + 0 + 28 + 628 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6411024 + 3617604 = 2532^2 + 1902^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2433 + ... + 5096.

Almost surely, 2^10028628 is an apocalyptic number.

10028628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10028628 is an abundant number, since it is smaller than the sum of its proper divisors (16010112).

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

10028628 is a wasteful number, since it uses less digits than its factorization.

10028628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7576 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10028628 is about 3166.8009094353. The cubic root of 10028628 is about 215.6488636475.

The spelling of 10028628 in words is "ten million, twenty-eight thousand, six hundred twenty-eight".