39448728000 has 448 divisors, whose sum is σ = 157900055040. Its totient is φ = 9562752000.

The previous prime is 39448727993. The next prime is 39448728041. The reversal of 39448728000 is 82784493.

39448728000 is a `hidden beast` number, since 3 + 94 + 487 + 2 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2367699 + ... + 2384301.

It is an arithmetic number, because the mean of its divisors is an integer number (352455480).

Almost surely, 2^39448728000 is an apocalyptic number.

39448728000 is a gapful number since it is divisible by the number (30) 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 39448728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78950027520).

39448728000 is an abundant number, since it is smaller than the sum of its proper divisors (118451327040).

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

39448728000 is a wasteful number, since it uses less digits than its factorization.

39448728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16650 (or 16624 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 39448728000 in words is "thirty-nine billion, four hundred forty-eight million, seven hundred twenty-eight thousand".