1024128000 has 528 divisors, whose sum is σ = 4250947584. Its totient is φ = 232243200.

The previous prime is 1024127999. The next prime is 1024128043. The reversal of 1024128000 is 8214201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8063937 + ... + 8064063.

Almost surely, 2^1024128000 is an apocalyptic number.

1024128000 is a gapful number since it is divisible by the number (10) 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 1024128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125473792).

1024128000 is an abundant number, since it is smaller than the sum of its proper divisors (3226819584).

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

1024128000 is a wasteful number, since it uses less digits than its factorization.

1024128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1024128000 is about 32001.9999375039. Note that the first 4 decimals coincide. The cubic root of 1024128000 is about 1007.9788355345.

The spelling of 1024128000 in words is "one billion, twenty-four million, one hundred twenty-eight thousand".