1928374272 has 144 divisors (see below), whose sum is σ = 6076455840. Its totient is φ = 584294400.

The previous prime is 1928374249. The next prime is 1928374289. The reversal of 1928374272 is 2724738291.

1928374272 is a `hidden beast` number, since 1 + 9 + 2 + 8 + 374 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 197997 + ... + 207507.

It is an arithmetic number, because the mean of its divisors is an integer number (42197610).

Almost surely, 2^1928374272 is an apocalyptic number.

1928374272 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 1928374272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038227920).

1928374272 is an abundant number, since it is smaller than the sum of its proper divisors (4148081568).

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

1928374272 is a wasteful number, since it uses less digits than its factorization.

1928374272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9550 (or 9527 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 1928374272 is about 43913.2584990000. The cubic root of 1928374272 is about 1244.6973822972.

The spelling of 1928374272 in words is "one billion, nine hundred twenty-eight million, three hundred seventy-four thousand, two hundred seventy-two".