45728820 has 96 divisors (see below), whose sum is σ = 149788800. Its totient is φ = 11549952.

The previous prime is 45728797. The next prime is 45728821. The reversal of 45728820 is 2882754.

45728820 = T₃₆₁ + T₃₆₂ + ... + T₆₈₄.

It is a happy number.

45728820 is a `hidden beast` number, since 4 + 572 + 8 + 82 + 0 = 666.

It is a super-2 number, since 2×45728820² = 4182249957184800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45728821) 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, 8032 + ... + 12488.

It is an arithmetic number, because the mean of its divisors is an integer number (1560300).

Almost surely, 2^45728820 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 45728820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74894400).

45728820 is an abundant number, since it is smaller than the sum of its proper divisors (104059980).

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

45728820 is a wasteful number, since it uses less digits than its factorization.

45728820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4494 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 45728820 is about 6762.3087773334. The cubic root of 45728820 is about 357.5993040840.

The spelling of 45728820 in words is "forty-five million, seven hundred twenty-eight thousand, eight hundred twenty".