928985960448 has 624 divisors, whose sum is σ = 3448091223360. Its totient is φ = 244988706816.

The previous prime is 928985960401. The next prime is 928985960449. The reversal of 928985960448 is 844069589829.

928985960448 is a `hidden beast` number, since 9 + 2 + 8 + 9 + 8 + 5 + 9 + 604 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (928985960449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70440511 + ... + 70453697.

Almost surely, 2^928985960448 is an apocalyptic number.

928985960448 is a gapful number since it is divisible by the number (98) 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 928985960448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724045611680).

928985960448 is an abundant number, since it is smaller than the sum of its proper divisors (2519105262912).

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

928985960448 is a wasteful number, since it uses less digits than its factorization.

928985960448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13247 (or 13212 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 928985960448 in words is "nine hundred twenty-eight billion, nine hundred eighty-five million, nine hundred sixty thousand, four hundred forty-eight".