8228239200 has 360 divisors, whose sum is σ = 30715018488. Its totient is φ = 2142443520.

The previous prime is 8228239189. The next prime is 8228239277. The reversal of 8228239200 is 29328228.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2784924 + ... + 2787876.

Almost surely, 2^8228239200 is an apocalyptic number.

8228239200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8228239200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15357509244).

8228239200 is an abundant number, since it is smaller than the sum of its proper divisors (22486779288).

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

8228239200 is a wasteful number, since it uses less digits than its factorization.

8228239200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8228239200 is about 90709.6422658584. The cubic root of 8228239200 is about 2018.8418679098.

The spelling of 8228239200 in words is "eight billion, two hundred twenty-eight million, two hundred thirty-nine thousand, two hundred".