46288 has 20 divisors (see below), whose sum is σ = 98208. Its totient is φ = 20960.

The previous prime is 46279. The next prime is 46301. The reversal of 46288 is 88264.

46288 is nontrivially palindromic in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45 + ... + 307.

2⁴⁶²⁸⁸ 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 46288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49104).

46288 is an abundant number, since it is smaller than the sum of its proper divisors (51920).

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

46288 is a wasteful number, since it uses less digits than its factorization.

46288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 46288 is about 215.1464617418. The cubic root of 46288 is about 35.9050998463.

It can be divided in two parts, 4 and 6288, that multiplied together give a palindrome (25152).

The spelling of 46288 in words is "forty-six thousand, two hundred eighty-eight".