238828936320 has 512 divisors, whose sum is σ = 964516896000. Its totient is φ = 55329619968.

The previous prime is 238828936319. The next prime is 238828936321. The reversal of 238828936320 is 23639828832.

238828936320 is a `hidden beast` number, since 2 + 3 + 8 + 8 + 289 + 36 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (238828936319) and next prime (238828936321).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (238828936321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3787611 + ... + 3850149.

Almost surely, 2^238828936320 is an apocalyptic number.

238828936320 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 238828936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482258448000).

238828936320 is an abundant number, since it is smaller than the sum of its proper divisors (725687959680).

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

238828936320 is a wasteful number, since it uses less digits than its factorization.

238828936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62597 (or 62579 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 238828936320 in words is "two hundred thirty-eight billion, eight hundred twenty-eight million, nine hundred thirty-six thousand, three hundred twenty".