442061928 has 192 divisors, whose sum is σ = 1558699200. Its totient is φ = 114791040.

The previous prime is 442061869. The next prime is 442061933. The reversal of 442061928 is 829160244.

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

It is a junction number, because it is equal to n+sod(n) for n = 442061892 and 442061901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114526 + ... + 118322.

It is an arithmetic number, because the mean of its divisors is an integer number (8118225).

Almost surely, 2^442061928 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 442061928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779349600).

442061928 is an abundant number, since it is smaller than the sum of its proper divisors (1116637272).

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

442061928 is a wasteful number, since it uses less digits than its factorization.

442061928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3820 counting only the distinct ones).

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

The square root of 442061928 is about 21025.2687973305. The cubic root of 442061928 is about 761.7767341431.

The spelling of 442061928 in words is "four hundred forty-two million, sixty-one thousand, nine hundred twenty-eight".