30428880 has 80 divisors (see below), whose sum is σ = 99309120. Its totient is φ = 7686144.

The previous prime is 30428873. The next prime is 30428897. The reversal of 30428880 is 8882403.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1224 + ... + 7896.

It is an arithmetic number, because the mean of its divisors is an integer number (1241364).

Almost surely, 2^30428880 is an apocalyptic number.

30428880 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 30428880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49654560).

30428880 is an abundant number, since it is smaller than the sum of its proper divisors (68880240).

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

30428880 is a wasteful number, since it uses less digits than its factorization.

30428880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708 (or 6702 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 30428880 is about 5516.2378483891. The cubic root of 30428880 is about 312.1969499425.

The spelling of 30428880 in words is "thirty million, four hundred twenty-eight thousand, eight hundred eighty".