288925936 has 40 divisors (see below), whose sum is σ = 605655680. Its totient is φ = 132731136.

The previous prime is 288925907. The next prime is 288925937. The reversal of 288925936 is 639529882.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288925937) 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, 43270 + ... + 49498.

It is an arithmetic number, because the mean of its divisors is an integer number (15141392).

Almost surely, 2^288925936 is an apocalyptic number.

288925936 is a gapful number since it is divisible by the number (26) 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 288925936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302827840).

288925936 is an abundant number, since it is smaller than the sum of its proper divisors (316729744).

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

288925936 is a wasteful number, since it uses less digits than its factorization.

288925936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6473 (or 6467 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 52.

The square root of 288925936 is about 16997.8215074756. The cubic root of 288925936 is about 661.0924179751.

The spelling of 288925936 in words is "two hundred eighty-eight million, nine hundred twenty-five thousand, nine hundred thirty-six".