38728462500 has 864 divisors, whose sum is σ = 156912456960. Its totient is φ = 8087040000.

The previous prime is 38728462481. The next prime is 38728462519. The reversal of 38728462500 is 526482783.

38728462500 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 84 + 62 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (38728462481) and next prime (38728462519).

It is a super-2 number, since 2×38728462500² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 399262452 + ... + 399262548.

It is an arithmetic number, because the mean of its divisors is an integer number (181611640).

Almost surely, 2^38728462500 is an apocalyptic number.

38728462500 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 38728462500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78456228480).

38728462500 is an abundant number, since it is smaller than the sum of its proper divisors (118183994460).

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

38728462500 is a wasteful number, since it uses less digits than its factorization.

38728462500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 38728462500 in words is "thirty-eight billion, seven hundred twenty-eight million, four hundred sixty-two thousand, five hundred".