8028828192 has 288 divisors, whose sum is σ = 26644415616. Its totient is φ = 2072125440.

The previous prime is 8028828173. The next prime is 8028828211. The reversal of 8028828192 is 2918288208.

It is an interprime number because it is at equal distance from previous prime (8028828173) and next prime (8028828211).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23824248 + ... + 23824584.

It is an arithmetic number, because the mean of its divisors is an integer number (92515332).

Almost surely, 2^8028828192 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 8028828192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13322207808).

8028828192 is an abundant number, since it is smaller than the sum of its proper divisors (18615587424).

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

8028828192 is a wasteful number, since it uses less digits than its factorization.

8028828192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 48.

The square root of 8028828192 is about 89603.7286724163. The cubic root of 8028828192 is about 2002.3994694553.

The spelling of 8028828192 in words is "eight billion, twenty-eight million, eight hundred twenty-eight thousand, one hundred ninety-two".