9488825600 has 108 divisors (see below), whose sum is σ = 23770624416. Its totient is φ = 3749591040.

The previous prime is 9488825597. The next prime is 9488825603. The reversal of 9488825600 is 65288849.

It is an interprime number because it is at equal distance from previous prime (9488825597) and next prime (9488825603).

It is a super-2 number, since 2×9488825600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9488825603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 522269 + ... + 540131.

Almost surely, 2^9488825600 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 9488825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11885312208).

9488825600 is an abundant number, since it is smaller than the sum of its proper divisors (14281798816).

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

9488825600 is a wasteful number, since it uses less digits than its factorization.

9488825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17972 (or 17953 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 50.

The square root of 9488825600 is about 97410.6031189624. The cubic root of 9488825600 is about 2117.0810665549.

The spelling of 9488825600 in words is "nine billion, four hundred eighty-eight million, eight hundred twenty-five thousand, six hundred".