288941328 has 180 divisors, whose sum is σ = 906227712. Its totient is φ = 85812480.

The previous prime is 288941293. The next prime is 288941347. The reversal of 288941328 is 823149882.

288941328 is a `hidden beast` number, since 288 + 9 + 41 + 328 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (221184) is a multiple of the sum of its prime divisors (432).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 754225 + ... + 754607.

Almost surely, 2^288941328 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 288941328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453113856).

288941328 is an abundant number, since it is smaller than the sum of its proper divisors (617286384).

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

288941328 is a wasteful number, since it uses less digits than its factorization.

288941328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 432 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 288941328 is about 16998.2742653482. The cubic root of 288941328 is about 661.1041572625.

The spelling of 288941328 in words is "two hundred eighty-eight million, nine hundred forty-one thousand, three hundred twenty-eight".