2865827328 has 480 divisors, whose sum is σ = 9992172960. Its totient is φ = 722534400.

The previous prime is 2865827317. The next prime is 2865827353. The reversal of 2865827328 is 8237285682.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28374478 + ... + 28374578.

It is an arithmetic number, because the mean of its divisors is an integer number (20817027).

Almost surely, 2^2865827328 is an apocalyptic number.

2865827328 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 2865827328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4996086480).

2865827328 is an abundant number, since it is smaller than the sum of its proper divisors (7126345632).

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

2865827328 is a wasteful number, since it uses less digits than its factorization.

2865827328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The square root of 2865827328 is about 53533.4225320967. The cubic root of 2865827328 is about 1420.4196551107.

The spelling of 2865827328 in words is "two billion, eight hundred sixty-five million, eight hundred twenty-seven thousand, three hundred twenty-eight".