288802000 has 80 divisors (see below), whose sum is σ = 702825552. Its totient is φ = 114777600.

The previous prime is 288801979. The next prime is 288802013. The reversal of 288802000 is 208882.

It can be written as a sum of positive squares in 8 ways, for example, as 345744 + 288456256 = 588^2 + 16984^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 288802000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393634 + ... + 394366.

Almost surely, 2^288802000 is an apocalyptic number.

288802000 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 288802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351412776).

288802000 is an abundant number, since it is smaller than the sum of its proper divisors (414023552).

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

288802000 is a wasteful number, since it uses less digits than its factorization.

288802000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 288802000 is about 16994.1754727907. The cubic root of 288802000 is about 660.9978783282.

It can be divided in two parts, 28880 and 2000, that multiplied together give a square (57760000 = 7600²).

The spelling of 288802000 in words is "two hundred eighty-eight million, eight hundred two thousand".