928434240 has 336 divisors, whose sum is σ = 3442533120. Its totient is φ = 229561344.

The previous prime is 928434233. The next prime is 928434253. The reversal of 928434240 is 42434829.

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

It is a junction number, because it is equal to n+sod(n) for n = 928434195 and 928434204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19753897 + ... + 19753943.

Almost surely, 2^928434240 is an apocalyptic number.

928434240 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 928434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721266560).

928434240 is an abundant number, since it is smaller than the sum of its proper divisors (2514098880).

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

928434240 is a wasteful number, since it uses less digits than its factorization.

928434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 928434240 is about 30470.2189030535. The cubic root of 928434240 is about 975.5519084351.

The spelling of 928434240 in words is "nine hundred twenty-eight million, four hundred thirty-four thousand, two hundred forty".