8970928200 has 336 divisors, whose sum is σ = 33684445620. Its totient is φ = 2207761920.

The previous prime is 8970928189. The next prime is 8970928201. The reversal of 8970928200 is 28290798.

It can be written as a sum of positive squares in 6 ways, for example, as 652393764 + 8318534436 = 25542^2 + 91206^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8970928201) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1893034 + ... + 1897766.

Almost surely, 2^8970928200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8970928200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16842222810).

8970928200 is an abundant number, since it is smaller than the sum of its proper divisors (24713517420).

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

8970928200 is a wasteful number, since it uses less digits than its factorization.

8970928200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 8970928200 is about 94714.9840310391. The cubic root of 8970928200 is about 2077.8417115716.

The spelling of 8970928200 in words is "eight billion, nine hundred seventy million, nine hundred twenty-eight thousand, two hundred".