388133280 has 144 divisors (see below), whose sum is σ = 1382209920. Its totient is φ = 98993664.

The previous prime is 388133279. The next prime is 388133281. The reversal of 388133280 is 82331883.

It is an interprime number because it is at equal distance from previous prime (388133279) and next prime (388133281).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (388133281) 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, 27261 + ... + 38979.

It is an arithmetic number, because the mean of its divisors is an integer number (9598680).

Almost surely, 2^388133280 is an apocalyptic number.

388133280 is a gapful number since it is divisible by the number (30) 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 388133280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691104960).

388133280 is an abundant number, since it is smaller than the sum of its proper divisors (994076640).

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

388133280 is a wasteful number, since it uses less digits than its factorization.

388133280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11763 (or 11752 counting only the distinct ones).

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

The square root of 388133280 is about 19701.0984465334. The cubic root of 388133280 is about 729.4468067677.

It can be divided in two parts, 38 and 8133280, that added together give a palindrome (8133318).

The spelling of 388133280 in words is "three hundred eighty-eight million, one hundred thirty-three thousand, two hundred eighty".