1928339136 has 224 divisors, whose sum is σ = 5998464000. Its totient is φ = 613806336.

The previous prime is 1928339129. The next prime is 1928339173. The reversal of 1928339136 is 6319338291.

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

It is a junction number, because it is equal to n+sod(n) for n = 1928339091 and 1928339100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3218965 + ... + 3219563.

Almost surely, 2^1928339136 is an apocalyptic number.

1928339136 is a gapful number since it is divisible by the number (16) 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 1928339136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999232000).

1928339136 is an abundant number, since it is smaller than the sum of its proper divisors (4070124864).

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

1928339136 is an frugal number, since it uses more digits than its factorization.

1928339136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 627 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 1928339136 is about 43912.8584357703. The cubic root of 1928339136 is about 1244.6898225696.

The spelling of 1928339136 in words is "one billion, nine hundred twenty-eight million, three hundred thirty-nine thousand, one hundred thirty-six".