82801628 has 48 divisors (see below), whose sum is σ = 188846784. Its totient is φ = 30827520.

The previous prime is 82801627. The next prime is 82801687. The reversal of 82801628 is 82610828.

It is a super-2 number, since 2×82801628² = 13712219198900768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82801627) 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, 503 + ... + 12878.

It is an arithmetic number, because the mean of its divisors is an integer number (3934308).

Almost surely, 2^82801628 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 82801628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94423392).

82801628 is an abundant number, since it is smaller than the sum of its proper divisors (106045156).

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

82801628 is a wasteful number, since it uses less digits than its factorization.

82801628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13422 (or 13420 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 82801628 is about 9099.5399883730. The cubic root of 82801628 is about 435.8592747869.

The spelling of 82801628 in words is "eighty-two million, eight hundred one thousand, six hundred twenty-eight".