37728768 has 240 divisors, whose sum is σ = 130616640. Its totient is φ = 9461760.

The previous prime is 37728751. The next prime is 37728773. The reversal of 37728768 is 86782773.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1300978 + ... + 1301006.

It is an arithmetic number, because the mean of its divisors is an integer number (544236).

Almost surely, 2^37728768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65308320).

37728768 is an abundant number, since it is smaller than the sum of its proper divisors (92887872).

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

37728768 is a wasteful number, since it uses less digits than its factorization.

37728768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The square root of 37728768 is about 6142.3747850485. The cubic root of 37728768 is about 335.3957393491.

The spelling of 37728768 in words is "thirty-seven million, seven hundred twenty-eight thousand, seven hundred sixty-eight".