9902028600 has 384 divisors, whose sum is σ = 36289344000. Its totient is φ = 2474634240.

The previous prime is 9902028599. The next prime is 9902028601. The reversal of 9902028600 is 68202099.

9902028600 is a `hidden beast` number, since 9 + 9 + 0 + 20 + 28 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (9902028599) and next prime (9902028601).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9902028601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10567332 + ... + 10568268.

It is an arithmetic number, because the mean of its divisors is an integer number (94503500).

Almost surely, 2^9902028600 is an apocalyptic number.

9902028600 is a gapful number since it is divisible by the number (90) 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 9902028600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144672000).

9902028600 is an abundant number, since it is smaller than the sum of its proper divisors (26387315400).

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

9902028600 is a wasteful number, since it uses less digits than its factorization.

9902028600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9902028600 is about 99508.9372870598. The cubic root of 9902028600 is about 2147.3758212616.

The spelling of 9902028600 in words is "nine billion, nine hundred two million, twenty-eight thousand, six hundred".