4295902128 has 320 divisors, whose sum is σ = 14094336000. Its totient is φ = 1122750720.

The previous prime is 4295902099. The next prime is 4295902139. The reversal of 4295902128 is 8212095924.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4295902128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9697075 + ... + 9697517.

It is an arithmetic number, because the mean of its divisors is an integer number (44044800).

Almost surely, 2^4295902128 is an apocalyptic number.

4295902128 is a gapful number since it is divisible by the number (48) 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 4295902128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7047168000).

4295902128 is an abundant number, since it is smaller than the sum of its proper divisors (9798433872).

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

4295902128 is a wasteful number, since it uses less digits than its factorization.

4295902128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 4295902128 is about 65543.1318140963. The cubic root of 4295902128 is about 1625.6166026725.

The spelling of 4295902128 in words is "four billion, two hundred ninety-five million, nine hundred two thousand, one hundred twenty-eight".