238528080 has 180 divisors, whose sum is σ = 931979412. Its totient is φ = 54512640.

The previous prime is 238528051. The next prime is 238528093. The reversal of 238528080 is 80825832.

238528080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 140280336 + 98247744 = 11844^2 + 9912^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31900 + ... + 38660.

Almost surely, 2^238528080 is an apocalyptic number.

238528080 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 238528080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465989706).

238528080 is an abundant number, since it is smaller than the sum of its proper divisors (693451332).

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

238528080 is a wasteful number, since it uses less digits than its factorization.

238528080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6794 (or 6778 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 238528080 is about 15444.3543082901. The cubic root of 238528080 is about 620.1734512973.

The spelling of 238528080 in words is "two hundred thirty-eight million, five hundred twenty-eight thousand, eighty".