1944649728 has 272 divisors, whose sum is σ = 6626949760. Its totient is φ = 552075264.

The previous prime is 1944649717. The next prime is 1944649757. The reversal of 1944649728 is 8279464491.

1944649728 is a `hidden beast` number, since 1 + 94 + 46 + 497 + 28 = 666.

It is a super-2 number, since 2×1944649728² = 7563325129220947968, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12386226 + ... + 12386382.

Almost surely, 2^1944649728 is an apocalyptic number.

1944649728 is a gapful number since it is divisible by the number (18) 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 1944649728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313474880).

1944649728 is an abundant number, since it is smaller than the sum of its proper divisors (4682300032).

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

1944649728 is an frugal number, since it uses more digits than its factorization.

1944649728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 169 counting only the distinct ones).

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

The square root of 1944649728 is about 44098.1828197036. The cubic root of 1944649728 is about 1248.1893203913.

The spelling of 1944649728 in words is "one billion, nine hundred forty-four million, six hundred forty-nine thousand, seven hundred twenty-eight".