45792288 has 144 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 13989888.

The previous prime is 45792283. The next prime is 45792293. The reversal of 45792288 is 88229754.

It is a Cunningham number, because it is equal to 6767²-1.

It is an interprime number because it is at equal distance from previous prime (45792283) and next prime (45792293).

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

It is not an unprimeable number, because it can be changed into a prime (45792283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230013 + ... + 230211.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^45792288 is an apocalyptic number.

45792288 is a gapful number since it is divisible by the number (48) 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 45792288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

45792288 is an abundant number, since it is smaller than the sum of its proper divisors (95730912).

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

45792288 is a wasteful number, since it uses less digits than its factorization.

45792288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 45792288 is about 6766.9999261120. Note that the first 4 decimals coincide. The cubic root of 45792288 is about 357.7646674922.

The spelling of 45792288 in words is "forty-five million, seven hundred ninety-two thousand, two hundred eighty-eight".