45950128 has 40 divisors (see below), whose sum is σ = 102993408. Its totient is φ = 19451712.

The previous prime is 45950119. The next prime is 45950129. The reversal of 45950128 is 82105954.

It is a super-2 number, since 2×45950128² = 4222828526432768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45950093 and 45950102.

It is not an unprimeable number, because it can be changed into a prime (45950129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6825 + ... + 11767.

Almost surely, 2^45950128 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 45950128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51496704).

45950128 is an abundant number, since it is smaller than the sum of its proper divisors (57043280).

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

45950128 is a wasteful number, since it uses less digits than its factorization.

45950128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 45950128 is about 6778.6523734441. The cubic root of 45950128 is about 358.1752520431.

The spelling of 45950128 in words is "forty-five million, nine hundred fifty thousand, one hundred twenty-eight".