19752928 has 48 divisors (see below), whose sum is σ = 42378336. Its totient is φ = 9008640.

The previous prime is 19752907. The next prime is 19752977. The reversal of 19752928 is 82925791.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42618 + ... + 43078.

It is an arithmetic number, because the mean of its divisors is an integer number (882882).

Almost surely, 2^19752928 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 19752928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21189168).

19752928 is an abundant number, since it is smaller than the sum of its proper divisors (22625408).

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

19752928 is a wasteful number, since it uses less digits than its factorization.

19752928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 579 counting only the distinct ones).

The product of its digits is 90720, while the sum is 43.

The square root of 19752928 is about 4444.4266221865. The cubic root of 19752928 is about 270.3193660345.

The spelling of 19752928 in words is "nineteen million, seven hundred fifty-two thousand, nine hundred twenty-eight".