1578828720 has 160 divisors (see below), whose sum is σ = 5634639360. Its totient is φ = 358225920.

The previous prime is 1578828707. The next prime is 1578828733. The reversal of 1578828720 is 278288751.

It is an interprime number because it is at equal distance from previous prime (1578828707) and next prime (1578828733).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1578828720.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230140 + ... + 236900.

It is an arithmetic number, because the mean of its divisors is an integer number (35216496).

Almost surely, 2^1578828720 is an apocalyptic number.

1578828720 is a gapful number since it is divisible by the number (10) 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 1578828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817319680).

1578828720 is an abundant number, since it is smaller than the sum of its proper divisors (4055810640).

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

1578828720 is a wasteful number, since it uses less digits than its factorization.

1578828720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6923 (or 6917 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 48.

The square root of 1578828720 is about 39734.4777240119. The cubic root of 1578828720 is about 1164.4254063224.

Subtracting from 1578828720 its reverse (278288751), we obtain a square (1300539969 = 36063²).

The spelling of 1578828720 in words is "one billion, five hundred seventy-eight million, eight hundred twenty-eight thousand, seven hundred twenty".