928414080 has 192 divisors, whose sum is σ = 3497616720. Its totient is φ = 225054720.

The previous prime is 928414079. The next prime is 928414093. The reversal of 928414080 is 80414829.

928414080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56034 + ... + 70686.

Almost surely, 2^928414080 is an apocalyptic number.

928414080 is a gapful number since it is divisible by the number (90) 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 928414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748808360).

928414080 is an abundant number, since it is smaller than the sum of its proper divisors (2569202640).

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

928414080 is a wasteful number, since it uses less digits than its factorization.

928414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14689 (or 14674 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 928414080 is about 30469.8880864371. Note that the first 3 decimals coincide. The cubic root of 928414080 is about 975.5448473467.

The spelling of 928414080 in words is "nine hundred twenty-eight million, four hundred fourteen thousand, eighty".