30628000 has 192 divisors, whose sum is σ = 88058880. Its totient is φ = 10368000.

The previous prime is 30627991. The next prime is 30628009. The reversal of 30628000 is 82603.

It is an interprime number because it is at equal distance from previous prime (30627991) and next prime (30628009).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30628009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 987985 + ... + 988015.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 2^30628000 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 30628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029440).

30628000 is an abundant number, since it is smaller than the sum of its proper divisors (57430880).

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

30628000 is a wasteful number, since it uses less digits than its factorization.

30628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 30628000 is about 5534.2569510278. The cubic root of 30628000 is about 312.8764529906.

The spelling of 30628000 in words is "thirty million, six hundred twenty-eight thousand".