1928916828 has 60 divisors (see below), whose sum is σ = 5051914560. Its totient is φ = 641780928.

The previous prime is 1928916811. The next prime is 1928916839. The reversal of 1928916828 is 8286198291.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 179125 + ... + 189587.

It is an arithmetic number, because the mean of its divisors is an integer number (84198576).

Almost surely, 2^1928916828 is an apocalyptic number.

1928916828 is a gapful number since it is divisible by the number (18) 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 1928916828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525957280).

1928916828 is an abundant number, since it is smaller than the sum of its proper divisors (3122997732).

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

1928916828 is a wasteful number, since it uses less digits than its factorization.

1928916828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11048 (or 11037 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 1928916828 is about 43919.4356521119. The cubic root of 1928916828 is about 1244.8141049200.

The spelling of 1928916828 in words is "one billion, nine hundred twenty-eight million, nine hundred sixteen thousand, eight hundred twenty-eight".