442630728 has 48 divisors (see below), whose sum is σ = 1206457980. Its totient is φ = 146600064.

The previous prime is 442630703. The next prime is 442630733. The reversal of 442630728 is 827036244.

It can be written as a sum of positive squares in 2 ways, for example, as 439237764 + 3392964 = 20958^2 + 1842^2 .

It is a super-2 number, since 2×442630728² = 391843922739619968, which contains 22 as substring.

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 = 442630692 and 442630701.

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, 8275 + ... + 30882.

Almost surely, 2^442630728 is an apocalyptic number.

It is an amenable number.

442630728 is an abundant number, since it is smaller than the sum of its proper divisors (763827252).

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

442630728 is a wasteful number, since it uses less digits than its factorization.

442630728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39326 (or 39319 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 442630728 is about 21038.7910299047. The cubic root of 442630728 is about 762.1033195303.

The spelling of 442630728 in words is "four hundred forty-two million, six hundred thirty thousand, seven hundred twenty-eight".