288893046 has 64 divisors (see below), whose sum is σ = 636088320. Its totient is φ = 86935680.

The previous prime is 288893023. The next prime is 288893051. The reversal of 288893046 is 640398882.

It is a happy number.

288893046 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 288892986 and 288893004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1065891 + ... + 1066161.

It is an arithmetic number, because the mean of its divisors is an integer number (9938880).

Almost surely, 2^288893046 is an apocalyptic number.

288893046 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 288893046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318044160).

288893046 is an abundant number, since it is smaller than the sum of its proper divisors (347195274).

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

288893046 is a wasteful number, since it uses less digits than its factorization.

288893046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541.

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 288893046 is about 16996.8540030207. The cubic root of 288893046 is about 661.0673317828.

The spelling of 288893046 in words is "two hundred eighty-eight million, eight hundred ninety-three thousand, forty-six".