2867628960 has 1152 divisors, whose sum is σ = 13237862400. Its totient is φ = 574801920.

The previous prime is 2867628931. The next prime is 2867628989. The reversal of 2867628960 is 698267682.

2867628960 is a `hidden beast` number, since 2 + 8 + 6 + 7 + 628 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2867628931) and next prime (2867628989).

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

It is a junction number, because it is equal to n+sod(n) for n = 2867628897 and 2867628906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92504145 + ... + 92504175.

It is an arithmetic number, because the mean of its divisors is an integer number (11491200).

Almost surely, 2^2867628960 is an apocalyptic number.

2867628960 is a gapful number since it is divisible by the number (20) 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 2867628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6618931200).

2867628960 is an abundant number, since it is smaller than the sum of its proper divisors (10370233440).

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

2867628960 is a wasteful number, since it uses less digits than its factorization.

2867628960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 2867628960 is about 53550.2470582536. The cubic root of 2867628960 is about 1420.7172465955.

The spelling of 2867628960 in words is "two billion, eight hundred sixty-seven million, six hundred twenty-eight thousand, nine hundred sixty".