1928413728 has 72 divisors (see below), whose sum is σ = 5489373708. Its totient is φ = 642166272.

The previous prime is 1928413727. The next prime is 1928413741. The reversal of 1928413728 is 8273148291.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1927912464 + 501264 = 43908^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1928413727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 353550 + ... + 358962.

Almost surely, 2^1928413728 is an apocalyptic number.

1928413728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1928413728 is an abundant number, since it is smaller than the sum of its proper divisors (3560959980).

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

1928413728 is a wasteful number, since it uses less digits than its factorization.

1928413728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6666 (or 6655 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1928413728 is about 43913.7077459875. The cubic root of 1928413728 is about 1244.7058713901.

The spelling of 1928413728 in words is "one billion, nine hundred twenty-eight million, four hundred thirteen thousand, seven hundred twenty-eight".