1928912832 has 672 divisors, whose sum is σ = 7644384000. Its totient is φ = 470292480.

The previous prime is 1928912809. The next prime is 1928912857. The reversal of 1928912832 is 2382198291.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17696394 + ... + 17696502.

Almost surely, 2^1928912832 is an apocalyptic number.

1928912832 is a gapful number since it is divisible by the number (12) 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 1928912832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822192000).

1928912832 is an abundant number, since it is smaller than the sum of its proper divisors (5715471168).

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

1928912832 is a wasteful number, since it uses less digits than its factorization.

1928912832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1928912832 is about 43919.3901597005. The cubic root of 1928912832 is about 1244.8132453218.

The spelling of 1928912832 in words is "one billion, nine hundred twenty-eight million, nine hundred twelve thousand, eight hundred thirty-two".