238828800 has 216 divisors, whose sum is σ = 901289536. Its totient is φ = 54558720.

The previous prime is 238828787. The next prime is 238828817. The reversal of 238828800 is 8828832.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 133512 + ... + 135288.

Almost surely, 2^238828800 is an apocalyptic number.

238828800 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 238828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450644768).

238828800 is an abundant number, since it is smaller than the sum of its proper divisors (662460736).

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

238828800 is a wasteful number, since it uses less digits than its factorization.

238828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 238828800 is about 15454.0868381150. The cubic root of 238828800 is about 620.4339660345.

The spelling of 238828800 in words is "two hundred thirty-eight million, eight hundred twenty-eight thousand, eight hundred".