2628072000 has 448 divisors, whose sum is σ = 10080345600. Its totient is φ = 670348800.

The previous prime is 2628071993. The next prime is 2628072019. The reversal of 2628072000 is 2708262.

The cubic root of 2628072000 is 1380.

It is a perfect power (a cube), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 114263989 + ... + 114264011.

Almost surely, 2^2628072000 is an apocalyptic number.

2628072000 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 2628072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040172800).

2628072000 is an abundant number, since it is smaller than the sum of its proper divisors (7452273600).

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

2628072000 is an frugal number, since it uses more digits than its factorization.

2628072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2628072000 is about 51264.7247139785.

Multiplying 2628072000 by its sum of digits (27), we get a cube (70957944000 = 4140³).

2628072000 divided by its sum of digits (27) gives a cube (97336000 = 460³).

The spelling of 2628072000 in words is "two billion, six hundred twenty-eight million, seventy-two thousand".