288536040 has 128 divisors (see below), whose sum is σ = 1035820800. Its totient is φ = 71020800.

The previous prime is 288536021. The next prime is 288536041. The reversal of 288536040 is 40635882.

288536040 is a `hidden beast` number, since 2 + 88 + 536 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 288535986 and 288536004.

It is not an unprimeable number, because it can be changed into a prime (288536041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3765 + ... + 24315.

It is an arithmetic number, because the mean of its divisors is an integer number (8092350).

Almost surely, 2^288536040 is an apocalyptic number.

288536040 is a gapful number since it is divisible by the number (20) 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 288536040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517910400).

288536040 is an abundant number, since it is smaller than the sum of its proper divisors (747284760).

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

288536040 is a wasteful number, since it uses less digits than its factorization.

288536040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20584 (or 20574 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 288536040 is about 16986.3486364786. The cubic root of 288536040 is about 660.7949099874.

The spelling of 288536040 in words is "two hundred eighty-eight million, five hundred thirty-six thousand, forty".