8952886800 has 1440 divisors, whose sum is σ = 41227361280. Its totient is φ = 1824768000.

The previous prime is 8952886751. The next prime is 8952886837. The reversal of 8952886800 is 86882598.

It is a super-2 number, since 2×8952886800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 288802785 + ... + 288802815.

It is an arithmetic number, because the mean of its divisors is an integer number (28630112).

Almost surely, 2^8952886800 is an apocalyptic number.

8952886800 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 8952886800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20613680640).

8952886800 is an abundant number, since it is smaller than the sum of its proper divisors (32274474480).

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

8952886800 is a wasteful number, since it uses less digits than its factorization.

8952886800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 8952886800 is about 94619.6956241141. The cubic root of 8952886800 is about 2076.4478635461.

The spelling of 8952886800 in words is "eight billion, nine hundred fifty-two million, eight hundred eighty-six thousand, eight hundred".