30735628 has 48 divisors (see below), whose sum is σ = 68027904. Its totient is φ = 11802240.

The previous prime is 30735623. The next prime is 30735631. The reversal of 30735628 is 82653703.

It is a junction number, because it is equal to n+sod(n) for n = 30735593 and 30735602.

It is not an unprimeable number, because it can be changed into a prime (30735623) 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, 21801 + ... + 23167.

It is an arithmetic number, because the mean of its divisors is an integer number (1417248).

Almost surely, 2^30735628 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 30735628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34013952).

30735628 is an abundant number, since it is smaller than the sum of its proper divisors (37292276).

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

30735628 is a wasteful number, since it uses less digits than its factorization.

30735628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 30735628 is about 5543.9722221526. The cubic root of 30735628 is about 313.2425112758.

The spelling of 30735628 in words is "thirty million, seven hundred thirty-five thousand, six hundred twenty-eight".