14984928 has 72 divisors (see below), whose sum is σ = 48707568. Its totient is φ = 4280832.

The previous prime is 14984917. The next prime is 14984933. The reversal of 14984928 is 82948941.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 1701 + ... + 5732.

It is an arithmetic number, because the mean of its divisors is an integer number (676494).

Almost surely, 2^14984928 is an apocalyptic number.

14984928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14984928 is an abundant number, since it is smaller than the sum of its proper divisors (33722640).

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

14984928 is a wasteful number, since it uses less digits than its factorization.

14984928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7456 (or 7445 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 14984928 is about 3871.0370703469. The cubic root of 14984928 is about 246.5385780885.

The spelling of 14984928 in words is "fourteen million, nine hundred eighty-four thousand, nine hundred twenty-eight".