82627428 has 96 divisors (see below), whose sum is σ = 222624640. Its totient is φ = 23639040.

The previous prime is 82627427. The next prime is 82627453. The reversal of 82627428 is 82472628.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (82627421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180576 + ... + 181032.

Almost surely, 2^82627428 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 82627428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111312320).

82627428 is an abundant number, since it is smaller than the sum of its proper divisors (139997212).

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

82627428 is a wasteful number, since it uses less digits than its factorization.

82627428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 555 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 82627428 is about 9089.9630362285. The cubic root of 82627428 is about 435.5534032106.

The spelling of 82627428 in words is "eighty-two million, six hundred twenty-seven thousand, four hundred twenty-eight".