238928040 has 192 divisors, whose sum is σ = 880588800. Its totient is φ = 55696896.

The previous prime is 238928029. The next prime is 238928077. The reversal of 238928040 is 40829832.

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 = 238927986 and 238928004.

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 47 ways as a sum of consecutive naturals, for example, 87577 + ... + 90263.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^238928040 is an apocalyptic number.

238928040 is a gapful number since it is divisible by the number (20) 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 238928040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440294400).

238928040 is an abundant number, since it is smaller than the sum of its proper divisors (641660760).

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

238928040 is a wasteful number, since it uses less digits than its factorization.

238928040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2729 counting only the distinct ones).

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

The square root of 238928040 is about 15457.2973058035. The cubic root of 238928040 is about 620.5198899829.

The spelling of 238928040 in words is "two hundred thirty-eight million, nine hundred twenty-eight thousand, forty".