288029952 has 144 divisors (see below), whose sum is σ = 973598080. Its totient is φ = 82280448.

The previous prime is 288029939. The next prime is 288029977. The reversal of 288029952 is 259920882.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×288029952² = 165922506498244608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 288029898 and 288029907.

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, 45408 + ... + 51360.

Almost surely, 2^288029952 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 288029952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486799040).

288029952 is an abundant number, since it is smaller than the sum of its proper divisors (685568128).

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

288029952 is an equidigital number, since it uses as much as digits as its factorization.

288029952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5985 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 288029952 is about 16971.4451947971. The cubic root of 288029952 is about 660.4083423476.

The spelling of 288029952 in words is "two hundred eighty-eight million, twenty-nine thousand, nine hundred fifty-two".