1928000272 has 80 divisors (see below), whose sum is σ = 4229640000. Its totient is φ = 843333120.

The previous prime is 1928000219. The next prime is 1928000273. The reversal of 1928000272 is 2720008291.

It is not an unprimeable number, because it can be changed into a prime (1928000273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2546518 + ... + 2547274.

It is an arithmetic number, because the mean of its divisors is an integer number (52870500).

Almost surely, 2^1928000272 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 1928000272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114820000).

1928000272 is an abundant number, since it is smaller than the sum of its proper divisors (2301639728).

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

1928000272 is a wasteful number, since it uses less digits than its factorization.

1928000272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 1928000272 is about 43908.9998975153. Note that the first 3 decimals coincide. The cubic root of 1928000272 is about 1244.6169091709.

The spelling of 1928000272 in words is "one billion, nine hundred twenty-eight million, two hundred seventy-two", and thus it is an aban number.