928978920 has 48 divisors (see below), whose sum is σ = 3019182660. Its totient is φ = 247727616.

The previous prime is 928978909. The next prime is 928978927. The reversal of 928978920 is 29879829.

It can be written as a sum of positive squares in 2 ways, for example, as 914094756 + 14884164 = 30234^2 + 3858^2 .

It is not an unprimeable number, because it can be changed into a prime (928978927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1289889 + ... + 1290608.

Almost surely, 2^928978920 is an apocalyptic number.

928978920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

928978920 is an abundant number, since it is smaller than the sum of its proper divisors (2090203740).

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

928978920 is a wasteful number, since it uses less digits than its factorization.

928978920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580514 (or 2580507 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 928978920 is about 30479.1555001119. The cubic root of 928978920 is about 975.7426452382.

It can be divided in two parts, 9289 and 78920, that added together give a square (88209 = 297²).

The spelling of 928978920 in words is "nine hundred twenty-eight million, nine hundred seventy-eight thousand, nine hundred twenty".