30428640 has 288 divisors, whose sum is σ = 121002336. Its totient is φ = 6881280.

The previous prime is 30428621. The next prime is 30428687. The reversal of 30428640 is 4682403.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 269224 + ... + 269336.

It is an arithmetic number, because the mean of its divisors is an integer number (420147).

Almost surely, 2^30428640 is an apocalyptic number.

30428640 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 30428640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60501168).

30428640 is an abundant number, since it is smaller than the sum of its proper divisors (90573696).

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

30428640 is a wasteful number, since it uses less digits than its factorization.

30428640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 30428640 is about 5516.2160943893. The cubic root of 30428640 is about 312.1961291491.

The spelling of 30428640 in words is "thirty million, four hundred twenty-eight thousand, six hundred forty".