1251883728 has 80 divisors (see below), whose sum is σ = 3669884160. Its totient is φ = 408409344.

The previous prime is 1251883697. The next prime is 1251883729. The reversal of 1251883728 is 8273881521.

It is a super-3 number, since 3×1251883728³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1251883729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10525 + ... + 51132.

It is an arithmetic number, because the mean of its divisors is an integer number (45873552).

Almost surely, 2^1251883728 is an apocalyptic number.

1251883728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1251883728 is an abundant number, since it is smaller than the sum of its proper divisors (2418000432).

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

1251883728 is a wasteful number, since it uses less digits than its factorization.

1251883728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61721 (or 61709 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 1251883728 is about 35381.9689672579. The cubic root of 1251883728 is about 1077.7581892859.

The spelling of 1251883728 in words is "one billion, two hundred fifty-one million, eight hundred eighty-three thousand, seven hundred twenty-eight".