8328925440 has 720 divisors, whose sum is σ = 33299703360. Its totient is φ = 1970749440.

The previous prime is 8328925399. The next prime is 8328925477. The reversal of 8328925440 is 445298238.

8328925440 is a `hidden beast` number, since 83 + 28 + 9 + 2 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×8328925440³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76412106 + ... + 76412214.

It is an arithmetic number, because the mean of its divisors is an integer number (46249588).

Almost surely, 2^8328925440 is an apocalyptic number.

8328925440 is a gapful number since it is divisible by the number (80) 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 8328925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16649851680).

8328925440 is an abundant number, since it is smaller than the sum of its proper divisors (24970777920).

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

8328925440 is a wasteful number, since it uses less digits than its factorization.

8328925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8328925440 is about 91262.9466979891. The cubic root of 8328925440 is about 2027.0431395113.

The spelling of 8328925440 in words is "eight billion, three hundred twenty-eight million, nine hundred twenty-five thousand, four hundred forty".