82828020 has 48 divisors (see below), whose sum is σ = 253003968. Its totient is φ = 20079360.

The previous prime is 82827971. The next prime is 82828027. The reversal of 82828020 is 2082828.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82828027) 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, 62089 + ... + 63408.

It is an arithmetic number, because the mean of its divisors is an integer number (5270916).

Almost surely, 2^82828020 is an apocalyptic number.

It is an amenable number.

82828020 is an abundant number, since it is smaller than the sum of its proper divisors (170175948).

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

82828020 is a wasteful number, since it uses less digits than its factorization.

82828020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125520 (or 125518 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 82828020 is about 9100.9900560324. The cubic root of 82828020 is about 435.9055781279.

The spelling of 82828020 in words is "eighty-two million, eight hundred twenty-eight thousand, twenty".