45192288 has 48 divisors (see below), whose sum is σ = 119218176. Its totient is φ = 14989440.

The previous prime is 45192253. The next prime is 45192311. The reversal of 45192288 is 88229154.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20353 + ... + 22463.

It is an arithmetic number, because the mean of its divisors is an integer number (2483712).

Almost surely, 2^45192288 is an apocalyptic number.

45192288 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 45192288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59609088).

45192288 is an abundant number, since it is smaller than the sum of its proper divisors (74025888).

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

45192288 is a wasteful number, since it uses less digits than its factorization.

45192288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2339 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 45192288 is about 6722.5209557130. The cubic root of 45192288 is about 356.1952386126.

The spelling of 45192288 in words is "forty-five million, one hundred ninety-two thousand, two hundred eighty-eight".