164082828 has 192 divisors, whose sum is σ = 505774080. Its totient is φ = 40220928.

The previous prime is 164082817. The next prime is 164082839. The reversal of 164082828 is 828280461.

164082828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164082817) and next prime (164082839).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1180383 + ... + 1180521.

It is an arithmetic number, because the mean of its divisors is an integer number (2634240).

Almost surely, 2^164082828 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 164082828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252887040).

164082828 is an abundant number, since it is smaller than the sum of its proper divisors (341691252).

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

164082828 is a wasteful number, since it uses less digits than its factorization.

164082828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 164082828 is about 12809.4819567381. The cubic root of 164082828 is about 547.4625015497.

The spelling of 164082828 in words is "one hundred sixty-four million, eighty-two thousand, eight hundred twenty-eight".