82428390 has 96 divisors (see below), whose sum is σ = 235872000. Its totient is φ = 19805760.

The previous prime is 82428371. The next prime is 82428391. The reversal of 82428390 is 9382428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82428391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137311 + ... + 137909.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^82428390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82428390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936000).

82428390 is an abundant number, since it is smaller than the sum of its proper divisors (153443610).

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

82428390 is a wasteful number, since it uses less digits than its factorization.

82428390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 759 counting only the distinct ones).

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

The square root of 82428390 is about 9079.0082057458. The cubic root of 82428390 is about 435.2033927961.

The spelling of 82428390 in words is "eighty-two million, four hundred twenty-eight thousand, three hundred ninety".