8003564128 has 96 divisors (see below), whose sum is σ = 19091939328. Its totient is φ = 3229632000.

The previous prime is 8003564119. The next prime is 8003564141. The reversal of 8003564128 is 8214653008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241353 + ... + 272503.

It is an arithmetic number, because the mean of its divisors is an integer number (198874368).

Almost surely, 2^8003564128 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 8003564128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9545969664).

8003564128 is an abundant number, since it is smaller than the sum of its proper divisors (11088375200).

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

8003564128 is a wasteful number, since it uses less digits than its factorization.

8003564128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31236 (or 31228 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 8003564128 is about 89462.6409625828. The cubic root of 8003564128 is about 2000.2969665699.

The spelling of 8003564128 in words is "eight billion, three million, five hundred sixty-four thousand, one hundred twenty-eight".