9278287200 has 1296 divisors, whose sum is σ = 43648768800. Its totient is φ = 1842462720.

The previous prime is 9278287199. The next prime is 9278287201. The reversal of 9278287200 is 27828729.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9278287199) and next prime (9278287201).

It is a super-2 number, since 2×9278287200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9278287201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 545781592 + ... + 545781608.

Almost surely, 2^9278287200 is an apocalyptic number.

9278287200 is a gapful number since it is divisible by the number (90) 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 9278287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21824384400).

9278287200 is an abundant number, since it is smaller than the sum of its proper divisors (34370481600).

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

9278287200 is a wasteful number, since it uses less digits than its factorization.

9278287200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 9278287200 is about 96323.8662014768. The cubic root of 9278287200 is about 2101.3058544717.

It can be divided in two parts, 927828 and 7200, that added together give a triangular number (935028 = T₁₃₆₇).

The spelling of 9278287200 in words is "nine billion, two hundred seventy-eight million, two hundred eighty-seven thousand, two hundred".