30428580 has 96 divisors (see below), whose sum is σ = 104880384. Its totient is φ = 6418944.

The previous prime is 30428579. The next prime is 30428581. The reversal of 30428580 is 8582403.

It is an interprime number because it is at equal distance from previous prime (30428579) and next prime (30428581).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (30428581) 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, 2674 + ... + 8246.

It is an arithmetic number, because the mean of its divisors is an integer number (1092504).

Almost surely, 2^30428580 is an apocalyptic number.

30428580 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 30428580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52440192).

30428580 is an abundant number, since it is smaller than the sum of its proper divisors (74451804).

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

30428580 is a wasteful number, since it uses less digits than its factorization.

30428580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 30428580 is about 5516.2106558760. The cubic root of 30428580 is about 312.1959239501.

The spelling of 30428580 in words is "thirty million, four hundred twenty-eight thousand, five hundred eighty".