380221128 has 96 divisors (see below), whose sum is σ = 1220506560. Its totient is φ = 108630720.

The previous prime is 380221097. The next prime is 380221129. The reversal of 380221128 is 821122083.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (380221129) 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, 363 + ... + 27578.

It is an arithmetic number, because the mean of its divisors is an integer number (12713610).

Almost surely, 2^380221128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380221128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610253280).

380221128 is an abundant number, since it is smaller than the sum of its proper divisors (840285432).

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

380221128 is a wasteful number, since it uses less digits than its factorization.

380221128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27969 (or 27953 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 380221128 is about 19499.2596782545. The cubic root of 380221128 is about 724.4561140039.

The spelling of 380221128 in words is "three hundred eighty million, two hundred twenty-one thousand, one hundred twenty-eight".