288572040 has 192 divisors, whose sum is σ = 982238400. Its totient is φ = 73382400.

The previous prime is 288572033. The next prime is 288572051. The reversal of 288572040 is 40275882.

It is a happy number.

288572040 is a `hidden beast` number, since 2 + 88 + 572 + 0 + 4 + 0 = 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 = 288571986 and 288572004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1367535 + ... + 1367745.

It is an arithmetic number, because the mean of its divisors is an integer number (5115825).

Almost surely, 2^288572040 is an apocalyptic number.

288572040 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 288572040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491119200).

288572040 is an abundant number, since it is smaller than the sum of its proper divisors (693666360).

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

288572040 is a wasteful number, since it uses less digits than its factorization.

288572040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 288572040 is about 16987.4082778981. The cubic root of 288572040 is about 660.8223908150.

The spelling of 288572040 in words is "two hundred eighty-eight million, five hundred seventy-two thousand, forty".