8928224640 has 384 divisors, whose sum is σ = 33873465600. Its totient is φ = 2156875776.

The previous prime is 8928224639. The next prime is 8928224689. The reversal of 8928224640 is 464228298.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2515347 + ... + 2518893.

It is an arithmetic number, because the mean of its divisors is an integer number (88212150).

Almost surely, 2^8928224640 is an apocalyptic number.

8928224640 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 8928224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16936732800).

8928224640 is an abundant number, since it is smaller than the sum of its proper divisors (24945240960).

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

8928224640 is a wasteful number, since it uses less digits than its factorization.

8928224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8928224640 is about 94489.2832018531. The cubic root of 8928224640 is about 2074.5394741278.

The spelling of 8928224640 in words is "eight billion, nine hundred twenty-eight million, two hundred twenty-four thousand, six hundred forty".