2869237728 has 720 divisors, whose sum is σ = 10949677200. Its totient is φ = 731566080.

The previous prime is 2869237727. The next prime is 2869237739. The reversal of 2869237728 is 8277329682.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2869237727) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 69981388 + ... + 69981428.

It is an arithmetic number, because the mean of its divisors is an integer number (15207885).

Almost surely, 2^2869237728 is an apocalyptic number.

2869237728 is a gapful number since it is divisible by the number (28) 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 2869237728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474838600).

2869237728 is an abundant number, since it is smaller than the sum of its proper divisors (8080439472).

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

2869237728 is a wasteful number, since it uses less digits than its factorization.

2869237728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2869237728 is about 53565.2660592664. The cubic root of 2869237728 is about 1420.9828757026.

The spelling of 2869237728 in words is "two billion, eight hundred sixty-nine million, two hundred thirty-seven thousand, seven hundred twenty-eight".