80362128 has 160 divisors (see below), whose sum is σ = 274268160. Its totient is φ = 19630080.

The previous prime is 80362127. The next prime is 80362129. The reversal of 80362128 is 82126308.

It is an interprime number because it is at equal distance from previous prime (80362127) and next prime (80362129).

It is a junction number, because it is equal to n+sod(n) for n = 80362095 and 80362104.

It is not an unprimeable number, because it can be changed into a prime (80362127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62193 + ... + 63471.

It is an arithmetic number, because the mean of its divisors is an integer number (1714176).

Almost surely, 2^80362128 is an apocalyptic number.

80362128 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 80362128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137134080).

80362128 is an abundant number, since it is smaller than the sum of its proper divisors (193906032).

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

80362128 is a wasteful number, since it uses less digits than its factorization.

80362128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 80362128 is about 8964.4926236793. The cubic root of 80362128 is about 431.5361104127.

The spelling of 80362128 in words is "eighty million, three hundred sixty-two thousand, one hundred twenty-eight".