82772028 has 36 divisors (see below), whose sum is σ = 209930448. Its totient is φ = 27498240.

The previous prime is 82771991. The next prime is 82772143. The reversal of 82772028 is 82027728.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82771983 and 82772001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7500 + ... + 14892.

Almost surely, 2^82772028 is an apocalyptic number.

It is an amenable number.

82772028 is an abundant number, since it is smaller than the sum of its proper divisors (127158420).

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

82772028 is a wasteful number, since it uses less digits than its factorization.

82772028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7714 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 82772028 is about 9097.9133871454. The cubic root of 82772028 is about 435.8073314758.

The spelling of 82772028 in words is "eighty-two million, seven hundred seventy-two thousand, twenty-eight".