8273955200 has 384 divisors, whose sum is σ = 24769843200. Its totient is φ = 2670796800.

The previous prime is 8273955197. The next prime is 8273955203. The reversal of 8273955200 is 25593728.

It is an interprime number because it is at equal distance from previous prime (8273955197) and next prime (8273955203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8273955203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30531065 + ... + 30531335.

It is an arithmetic number, because the mean of its divisors is an integer number (64504800).

Almost surely, 2^8273955200 is an apocalyptic number.

8273955200 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 8273955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12384921600).

8273955200 is an abundant number, since it is smaller than the sum of its proper divisors (16495888000).

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

8273955200 is a wasteful number, since it uses less digits than its factorization.

8273955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 8273955200 is about 90961.2840718511. The cubic root of 8273955200 is about 2022.5738520064.

The spelling of 8273955200 in words is "eight billion, two hundred seventy-three million, nine hundred fifty-five thousand, two hundred".