928419840 has 416 divisors, whose sum is σ = 3491331840. Its totient is φ = 233570304.

The previous prime is 928419797. The next prime is 928419841. The reversal of 928419840 is 48914829.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (928419841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12718044 + ... + 12718116.

Almost surely, 2^928419840 is an apocalyptic number.

928419840 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 928419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745665920).

928419840 is an abundant number, since it is smaller than the sum of its proper divisors (2562912000).

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

928419840 is a wasteful number, since it uses less digits than its factorization.

928419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 928419840 is about 30469.9826058368. The cubic root of 928419840 is about 975.5468648109.

The spelling of 928419840 in words is "nine hundred twenty-eight million, four hundred nineteen thousand, eight hundred forty".