9877128000 has 224 divisors, whose sum is σ = 32723084160. Its totient is φ = 2625126400.

The previous prime is 9877127971. The next prime is 9877128049. The reversal of 9877128000 is 8217789.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10631536 + ... + 10632464.

Almost surely, 2^9877128000 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 9877128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16361542080).

9877128000 is an abundant number, since it is smaller than the sum of its proper divisors (22845956160).

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

9877128000 is a wasteful number, since it uses less digits than its factorization.

9877128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 9877128000 is about 99383.7411249949. The cubic root of 9877128000 is about 2145.5743106038.

The spelling of 9877128000 in words is "nine billion, eight hundred seventy-seven million, one hundred twenty-eight thousand".