45277128 has 108 divisors (see below), whose sum is σ = 134996355. Its totient is φ = 13703040.

The previous prime is 45277117. The next prime is 45277129. The reversal of 45277128 is 82177254.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

45277128 is a `hidden beast` number, since 4 + 527 + 7 + 128 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 1954404 + 43322724 = 1398^2 + 6582^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4758.

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

Its product of digits (31360) is a multiple of the sum of its prime factors (160).

It is a junction number, because it is equal to n+sod(n) for n = 45277092 and 45277101.

It is not an unprimeable number, because it can be changed into a prime (45277129) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 742218 + ... + 742278.

Almost surely, 2^45277128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45277128

45277128 is an abundant number, since it is smaller than the sum of its proper divisors (89719227).

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

45277128 is a wasteful number, since it uses less digits than its factorization.

45277128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 79 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 45277128 is about 6728.8281297712. The cubic root of 45277128 is about 356.4179957432.

The spelling of 45277128 in words is "forty-five million, two hundred seventy-seven thousand, one hundred twenty-eight".