288762672 has 80 divisors (see below), whose sum is σ = 833696640. Its totient is φ = 85363200.

The previous prime is 288762671. The next prime is 288762679. The reversal of 288762672 is 276267882.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (288762671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14979 + ... + 28317.

It is an arithmetic number, because the mean of its divisors is an integer number (10421208).

Almost surely, 2^288762672 is an apocalyptic number.

288762672 is a gapful number since it is divisible by the number (22) 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 288762672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416848320).

288762672 is an abundant number, since it is smaller than the sum of its proper divisors (544933968).

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

288762672 is a wasteful number, since it uses less digits than its factorization.

288762672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13402 (or 13396 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 288762672 is about 16993.0183310676. The cubic root of 288762672 is about 660.9678728750.

The spelling of 288762672 in words is "two hundred eighty-eight million, seven hundred sixty-two thousand, six hundred seventy-two".