30628620 has 144 divisors (see below), whose sum is σ = 104832000. Its totient is φ = 7171200.

The previous prime is 30628607. The next prime is 30628657. The reversal of 30628620 is 2682603.

30628620 is a `hidden beast` number, since 30 + 6 + 2 + 8 + 620 = 666.

It is a super-2 number, since 2×30628620² = 1876224726208800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61131 + ... + 61629.

It is an arithmetic number, because the mean of its divisors is an integer number (728000).

Almost surely, 2^30628620 is an apocalyptic number.

30628620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30628620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52416000).

30628620 is an abundant number, since it is smaller than the sum of its proper divisors (74203380).

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

30628620 is a wasteful number, since it uses less digits than its factorization.

30628620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30628620 is about 5534.3129654908. The cubic root of 30628620 is about 312.8785641535.

The spelling of 30628620 in words is "thirty million, six hundred twenty-eight thousand, six hundred twenty".