42328980 has 240 divisors, whose sum is σ = 148191120. Its totient is φ = 10063872.

The previous prime is 42328969. The next prime is 42328987. The reversal of 42328980 is 8982324.

It can be written as a sum of positive squares in 8 ways, for example, as 1726596 + 40602384 = 1314^2 + 6372^2 .

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 (42328987) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 798634 + ... + 798686.

It is an arithmetic number, because the mean of its divisors is an integer number (617463).

Almost surely, 2^42328980 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 42328980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74095560).

42328980 is an abundant number, since it is smaller than the sum of its proper divisors (105862140).

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

42328980 is a wasteful number, since it uses less digits than its factorization.

42328980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 42328980 is about 6506.0725480124. The cubic root of 42328980 is about 348.5078791187.

It can be divided in two parts, 423 and 28980, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 42328980 in words is "forty-two million, three hundred twenty-eight thousand, nine hundred eighty".