1789728400 has 60 divisors (see below), whose sum is σ = 4328824500. Its totient is φ = 711063040.

The previous prime is 1789728379. The next prime is 1789728401. The reversal of 1789728400 is 48279871.

It can be written as a sum of positive squares in 6 ways, for example, as 1115136 + 1788613264 = 1056^2 + 42292^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1789728401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44586 + ... + 74614.

It is an arithmetic number, because the mean of its divisors is an integer number (72147075).

Almost surely, 2^1789728400 is an apocalyptic number.

1789728400 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 1789728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164412250).

1789728400 is an abundant number, since it is smaller than the sum of its proper divisors (2539096100).

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

1789728400 is a wasteful number, since it uses less digits than its factorization.

1789728400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30196 (or 30185 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 46.

The square root of 1789728400 is about 42305.1817157189. The cubic root of 1789728400 is about 1214.1221339705.

The spelling of 1789728400 in words is "one billion, seven hundred eighty-nine million, seven hundred twenty-eight thousand, four hundred".