45826128 has 160 divisors (see below), whose sum is σ = 140229120. Its totient is φ = 14307840.

The previous prime is 45826127. The next prime is 45826141. The reversal of 45826128 is 82162854.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45826092 and 45826101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45826127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751218 + ... + 751278.

It is an arithmetic number, because the mean of its divisors is an integer number (876432).

Almost surely, 2^45826128 is an apocalyptic number.

45826128 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 45826128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70114560).

45826128 is an abundant number, since it is smaller than the sum of its proper divisors (94402992).

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

45826128 is a wasteful number, since it uses less digits than its factorization.

45826128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 45826128 is about 6769.4998338134. The cubic root of 45826128 is about 357.8527738514.

It can be divided in two parts, 45826 and 128, that added together give a palindrome (45954).

The spelling of 45826128 in words is "forty-five million, eight hundred twenty-six thousand, one hundred twenty-eight".