38928240 has 120 divisors (see below), whose sum is σ = 140824320. Its totient is φ = 9580032.

The previous prime is 38928221. The next prime is 38928247. The reversal of 38928240 is 4282983.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 38928195 and 38928204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38928247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7281 + ... + 11439.

It is an arithmetic number, because the mean of its divisors is an integer number (1173536).

Almost surely, 2^38928240 is an apocalyptic number.

38928240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38928240 is the 3120-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38928240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70412160).

38928240 is an abundant number, since it is smaller than the sum of its proper divisors (101896080).

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

38928240 is a wasteful number, since it uses less digits than its factorization.

38928240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4182 counting only the distinct ones).

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

The square root of 38928240 is about 6239.2499549225. The cubic root of 38928240 is about 338.9130222992.

The spelling of 38928240 in words is "thirty-eight million, nine hundred twenty-eight thousand, two hundred forty".