1868131728 has 80 divisors (see below), whose sum is σ = 5367513600. Its totient is φ = 622097280.

The previous prime is 1868131709. The next prime is 1868131747. The reversal of 1868131728 is 8271318681.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1868131709) and next prime (1868131747).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 719713 + ... + 722303.

It is an arithmetic number, because the mean of its divisors is an integer number (67093920).

Almost surely, 2^1868131728 is an apocalyptic number.

1868131728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1868131728 is an abundant number, since it is smaller than the sum of its proper divisors (3499381872).

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

1868131728 is a wasteful number, since it uses less digits than its factorization.

1868131728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277 (or 4265 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 1868131728 is about 43221.8894543031. The cubic root of 1868131728 is about 1231.5985402745.

The spelling of 1868131728 in words is "one billion, eight hundred sixty-eight million, one hundred thirty-one thousand, seven hundred twenty-eight".