1002875328 has 504 divisors, whose sum is σ = 3804379488. Its totient is φ = 245846016.

The previous prime is 1002875317. The next prime is 1002875329. The reversal of 1002875328 is 8235782001.

1002875328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1002875328² = 2011517847022215168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1002875292 and 1002875301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002875329) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18922150 + ... + 18922202.

It is an arithmetic number, because the mean of its divisors is an integer number (7548372).

Almost surely, 2^1002875328 is an apocalyptic number.

1002875328 is a gapful number since it is divisible by the number (18) 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 1002875328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902189744).

1002875328 is an abundant number, since it is smaller than the sum of its proper divisors (2801504160).

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

1002875328 is a wasteful number, since it uses less digits than its factorization.

1002875328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1002875328 is about 31668.2068958759. The cubic root of 1002875328 is about 1000.9575255189.

The spelling of 1002875328 in words is "one billion, two million, eight hundred seventy-five thousand, three hundred twenty-eight".