288811552 has 72 divisors (see below), whose sum is σ = 626766336. Its totient is φ = 130737024.

The previous prime is 288811543. The next prime is 288811591. The reversal of 288811552 is 255118882.

It is a super-2 number, since 2×288811552² = 166824225137297408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265153 + ... + 266239.

It is an arithmetic number, because the mean of its divisors is an integer number (8705088).

Almost surely, 2^288811552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288811552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313383168).

288811552 is an abundant number, since it is smaller than the sum of its proper divisors (337954784).

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

288811552 is a wasteful number, since it uses less digits than its factorization.

288811552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1131 counting only the distinct ones).

The product of its digits is 51200, while the sum is 40.

The square root of 288811552 is about 16994.4565079322. The cubic root of 288811552 is about 661.0051656532.

It can be divided in two parts, 2888 and 11552, that multiplied together give a 4-th power (33362176 = 76⁴).

The spelling of 288811552 in words is "two hundred eighty-eight million, eight hundred eleven thousand, five hundred fifty-two".