38428727040 has 216 divisors, whose sum is σ = 145047088368. Its totient is φ = 9316024320.

The previous prime is 38428727033. The next prime is 38428727081. The reversal of 38428727040 is 4072782483.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24909 + ... + 278348.

It is an arithmetic number, because the mean of its divisors is an integer number (671514298).

Almost surely, 2^38428727040 is an apocalyptic number.

38428727040 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 38428727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72523544184).

38428727040 is an abundant number, since it is smaller than the sum of its proper divisors (106618361328).

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

38428727040 is a wasteful number, since it uses less digits than its factorization.

38428727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303295 (or 303278 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 38428727040 in words is "thirty-eight billion, four hundred twenty-eight million, seven hundred twenty-seven thousand, forty".