37927828000 has 192 divisors, whose sum is σ = 97843479552. Its totient is φ = 14421580800.

The previous prime is 37927827983. The next prime is 37927828009. The reversal of 37927828000 is 82872973.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (37927828009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15914809 + ... + 15917191.

It is an arithmetic number, because the mean of its divisors is an integer number (509601456).

Almost surely, 2^37927828000 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 37927828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48921739776).

37927828000 is an abundant number, since it is smaller than the sum of its proper divisors (59915651552).

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

37927828000 is a wasteful number, since it uses less digits than its factorization.

37927828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 37927828000 in words is "thirty-seven billion, nine hundred twenty-seven million, eight hundred twenty-eight thousand".