45401328 has 120 divisors (see below), whose sum is σ = 147439968. Its totient is φ = 12773376.

The previous prime is 45401281. The next prime is 45401341. The reversal of 45401328 is 82310454.

It is a super-2 number, since 2×45401328² = 4122561168327168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73276 + ... + 73892.

Almost surely, 2^45401328 is an apocalyptic number.

45401328 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 45401328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73719984).

45401328 is an abundant number, since it is smaller than the sum of its proper divisors (102038640).

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

45401328 is a wasteful number, since it uses less digits than its factorization.

45401328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45401328 is about 6738.0507567100. The cubic root of 45401328 is about 356.7435957545.

The spelling of 45401328 in words is "forty-five million, four hundred one thousand, three hundred twenty-eight".