45288768 has 112 divisors (see below), whose sum is σ = 141492224. Its totient is φ = 12510720.

The previous prime is 45288767. The next prime is 45288781. The reversal of 45288768 is 86788254.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45288767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41121 + ... + 42207.

Almost surely, 2^45288768 is an apocalyptic number.

45288768 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 45288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70746112).

45288768 is an abundant number, since it is smaller than the sum of its proper divisors (96203456).

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

45288768 is a wasteful number, since it uses less digits than its factorization.

45288768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1130 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 45288768 is about 6729.6930093430. The cubic root of 45288768 is about 356.4485361815.

It can be divided in two parts, 45288 and 768, that added together give a triangular number (46056 = T₃₀₃).

The spelling of 45288768 in words is "forty-five million, two hundred eighty-eight thousand, seven hundred sixty-eight".