1945728000 has 352 divisors, whose sum is σ = 7204129920. Its totient is φ = 517939200.

The previous prime is 1945727999. The next prime is 1945728049. The reversal of 1945728000 is 8275491.

1945728000 is a `hidden beast` number, since 1 + 9 + 4 + 572 + 80 + 0 + 0 = 666.

It is a super-3 number, since 3×1945728000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 3455719 + ... + 3456281.

Almost surely, 2^1945728000 is an apocalyptic number.

1945728000 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 1945728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602064960).

1945728000 is an abundant number, since it is smaller than the sum of its proper divisors (5258401920).

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

1945728000 is an equidigital number, since it uses as much as digits as its factorization.

1945728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1945728000 is about 44110.4069353254. The cubic root of 1945728000 is about 1248.4199769967.

The spelling of 1945728000 in words is "one billion, nine hundred forty-five million, seven hundred twenty-eight thousand".