45128000 has 56 divisors (see below), whose sum is σ = 111779304. Its totient is φ = 18048000.

The previous prime is 45127993. The next prime is 45128023. The reversal of 45128000 is 82154.

It can be written as a sum of positive squares in 4 ways, for example, as 719104 + 44408896 = 848^2 + 6664^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 5180 + ... + 10820.

It is an arithmetic number, because the mean of its divisors is an integer number (1996059).

Almost surely, 2^45128000 is an apocalyptic number.

45128000 is a gapful number since it is divisible by the number (40) 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 45128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55889652).

45128000 is an abundant number, since it is smaller than the sum of its proper divisors (66651304).

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

45128000 is an equidigital number, since it uses as much as digits as its factorization.

45128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5668 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 45128000 is about 6717.7377144393. The cubic root of 45128000 is about 356.0262573740.

It can be divided in two parts, 45 and 128000, that multiplied together give a square (5760000 = 2400²).

The spelling of 45128000 in words is "forty-five million, one hundred twenty-eight thousand".