288633642 has 24 divisors (see below), whose sum is σ = 634518528. Its totient is φ = 87464520.

The previous prime is 288633613. The next prime is 288633649. The reversal of 288633642 is 246336882.

It is a junction number, because it is equal to n+sod(n) for n = 288633594 and 288633603.

It is not an unprimeable number, because it can be changed into a prime (288633649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198058 + ... + 199509.

It is an arithmetic number, because the mean of its divisors is an integer number (26438272).

Almost surely, 2^288633642 is an apocalyptic number.

288633642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

288633642 is an abundant number, since it is smaller than the sum of its proper divisors (345884886).

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

288633642 is a wasteful number, since it uses less digits than its factorization.

288633642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397594 (or 397583 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 288633642 is about 16989.2213476663. The cubic root of 288633642 is about 660.8694097900.

The spelling of 288633642 in words is "two hundred eighty-eight million, six hundred thirty-three thousand, six hundred forty-two".