45748128 has 96 divisors (see below), whose sum is σ = 125737920. Its totient is φ = 14551040.

The previous prime is 45748123. The next prime is 45748223. The reversal of 45748128 is 82184754.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (45748123) 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, 232126 + ... + 232322.

It is an arithmetic number, because the mean of its divisors is an integer number (1309770).

Almost surely, 2^45748128 is an apocalyptic number.

45748128 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 45748128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62868960).

45748128 is an abundant number, since it is smaller than the sum of its proper divisors (79989792).

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

45748128 is a wasteful number, since it uses less digits than its factorization.

45748128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its digits is 71680, while the sum is 39.

The square root of 45748128 is about 6763.7362455968. The cubic root of 45748128 is about 357.6496265126.

The spelling of 45748128 in words is "forty-five million, seven hundred forty-eight thousand, one hundred twenty-eight".