8827028320 has 384 divisors, whose sum is σ = 25583910912. Its totient is φ = 2838528000.

The previous prime is 8827028281. The next prime is 8827028351. The reversal of 8827028320 is 238207288.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69504097 + ... + 69504223.

It is an arithmetic number, because the mean of its divisors is an integer number (66624768).

Almost surely, 2^8827028320 is an apocalyptic number.

8827028320 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 8827028320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12791955456).

8827028320 is an abundant number, since it is smaller than the sum of its proper divisors (16756882592).

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

8827028320 is a wasteful number, since it uses less digits than its factorization.

8827028320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 8827028320 is about 93952.2661780971. The cubic root of 8827028320 is about 2066.6717673594.

The spelling of 8827028320 in words is "eight billion, eight hundred twenty-seven million, twenty-eight thousand, three hundred twenty".