288612800 has 168 divisors, whose sum is σ = 825069216. Its totient is φ = 97320960.

The previous prime is 288612787. The next prime is 288612803. The reversal of 288612800 is 8216882.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288612803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 817424 + ... + 817776.

Almost surely, 2^288612800 is an apocalyptic number.

288612800 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 288612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412534608).

288612800 is an abundant number, since it is smaller than the sum of its proper divisors (536456416).

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

288612800 is a wasteful number, since it uses less digits than its factorization.

288612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 288612800 is about 16988.6079476807. The cubic root of 288612800 is about 660.8535024600.

The spelling of 288612800 in words is "two hundred eighty-eight million, six hundred twelve thousand, eight hundred".