928146240 has 252 divisors, whose sum is σ = 3714215076. Its totient is φ = 212115456.

The previous prime is 928146239. The next prime is 928146253. The reversal of 928146240 is 42641829.

928146240 is a `hidden beast` number, since 9 + 28 + 1 + 4 + 624 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 704583936 + 223562304 = 26544^2 + 14952^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×928146240² = 1722910885652275200, which contains 22 as substring.

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 = 928146195 and 928146204.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 137832 + ... + 144408.

Almost surely, 2^928146240 is an apocalyptic number.

928146240 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 928146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857107538).

928146240 is an abundant number, since it is smaller than the sum of its proper divisors (2786068836).

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

928146240 is a wasteful number, since it uses less digits than its factorization.

928146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614 (or 6594 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 928146240 is about 30465.4926104929. The cubic root of 928146240 is about 975.4510260413.

The spelling of 928146240 in words is "nine hundred twenty-eight million, one hundred forty-six thousand, two hundred forty".