90381328 has 40 divisors (see below), whose sum is σ = 185861120. Its totient is φ = 42456960.

The previous prime is 90381323. The next prime is 90381341. The reversal of 90381328 is 82318309.

It is a junction number, because it is equal to n+sod(n) for n = 90381293 and 90381302.

It is not an unprimeable number, because it can be changed into a prime (90381323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37438 + ... + 39778.

It is an arithmetic number, because the mean of its divisors is an integer number (4646528).

Almost surely, 2^90381328 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 90381328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92930560).

90381328 is an abundant number, since it is smaller than the sum of its proper divisors (95479792).

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

90381328 is a wasteful number, since it uses less digits than its factorization.

90381328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 90381328 is about 9506.9094873150. The cubic root of 90381328 is about 448.7725032748.

It can be divided in two parts, 90381 and 328, that added together give a palindrome (90709).

The spelling of 90381328 in words is "ninety million, three hundred eighty-one thousand, three hundred twenty-eight".