1928024640 has 112 divisors (see below), whose sum is σ = 6801672960. Its totient is φ = 514137600.

The previous prime is 1928024627. The next prime is 1928024699. The reversal of 1928024640 is 464208291.

1928024640 is a `hidden beast` number, since 1 + 9 + 2 + 8 + 0 + 2 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1928024595 and 1928024604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102936 + ... + 120215.

Almost surely, 2^1928024640 is an apocalyptic number.

1928024640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1928024640 is an abundant number, since it is smaller than the sum of its proper divisors (4873648320).

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

1928024640 is a wasteful number, since it uses less digits than its factorization.

1928024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223177 (or 223161 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1928024640 is about 43909.2773796153. The cubic root of 1928024640 is about 1244.6221527208.

The spelling of 1928024640 in words is "one billion, nine hundred twenty-eight million, twenty-four thousand, six hundred forty".