42038928 has 60 divisors (see below), whose sum is σ = 118095120. Its totient is φ = 13960128.

The previous prime is 42038921. The next prime is 42038933. The reversal of 42038928 is 82983024.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42038892 and 42038901.

It is not an unprimeable number, because it can be changed into a prime (42038921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63463 + ... + 64121.

It is an arithmetic number, because the mean of its divisors is an integer number (1968252).

Almost surely, 2^42038928 is an apocalyptic number.

42038928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42038928 is an abundant number, since it is smaller than the sum of its proper divisors (76056192).

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

42038928 is a wasteful number, since it uses less digits than its factorization.

42038928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 42038928 is about 6483.7433632123. The cubic root of 42038928 is about 347.7100239973.

It can be divided in two parts, 4203 and 8928, that added together give a palindrome (13131).

The spelling of 42038928 in words is "forty-two million, thirty-eight thousand, nine hundred twenty-eight".