2868784128 has 396 divisors, whose sum is σ = 9991685392. Its totient is φ = 806215680.

The previous prime is 2868784123. The next prime is 2868784129. The reversal of 2868784128 is 8214878682.

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.

Its product of digits (2752512) is a multiple of the sum of its prime factors (112).

It is not an unprimeable number, because it can be changed into a prime (2868784123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47029218 + ... + 47029278.

Almost surely, 2^2868784128 is an apocalyptic number.

2868784128 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 2868784128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4995842696).

2868784128 is an abundant number, since it is smaller than the sum of its proper divisors (7122901264).

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

2868784128 is an frugal number, since it uses more digits than its factorization.

2868784128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 73 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The square root of 2868784128 is about 53561.0318048486. The cubic root of 2868784128 is about 1420.9079903309.

The spelling of 2868784128 in words is "two billion, eight hundred sixty-eight million, seven hundred eighty-four thousand, one hundred twenty-eight".