1928829072 has 20 divisors (see below), whose sum is σ = 4982808560. Its totient is φ = 642943008.

The previous prime is 1928829047. The next prime is 1928829079. The reversal of 1928829072 is 2709288291.

1928829072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 40183939 = 1928829072 / (1 + 9 + 2 + 8 + 8 + 2 + 9 + 0 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (1928829079) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20091922 + ... + 20092017.

It is an arithmetic number, because the mean of its divisors is an integer number (249140428).

Almost surely, 2^1928829072 is an apocalyptic number.

1928829072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1928829072 is an abundant number, since it is smaller than the sum of its proper divisors (3053979488).

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

1928829072 is a wasteful number, since it uses less digits than its factorization.

1928829072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40183950 (or 40183944 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 1928829072 is about 43918.4365841955. The cubic root of 1928829072 is about 1244.7952270432.

The spelling of 1928829072 in words is "one billion, nine hundred twenty-eight million, eight hundred twenty-nine thousand, seventy-two".