82190328 has 64 divisors (see below), whose sum is σ = 224985600. Its totient is φ = 24814080.

The previous prime is 82190327. The next prime is 82190341. The reversal of 82190328 is 82309128.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82190323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113953 + ... + 114671.

It is an arithmetic number, because the mean of its divisors is an integer number (3515400).

Almost surely, 2^82190328 is an apocalyptic number.

82190328 is a gapful number since it is divisible by the number (88) 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 82190328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

82190328 is an abundant number, since it is smaller than the sum of its proper divisors (142795272).

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

82190328 is a wasteful number, since it uses less digits than its factorization.

82190328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 82190328 is about 9065.8881528508. Note that the first 3 decimals coincide. The cubic root of 82190328 is about 434.7840174992.

The spelling of 82190328 in words is "eighty-two million, one hundred ninety thousand, three hundred twenty-eight".