6228284400 has 840 divisors, whose sum is σ = 25410623616. Its totient is φ = 1455667200.

The previous prime is 6228284399. The next prime is 6228284449. The reversal of 6228284400 is 44828226.

It is a happy number.

6228284400 is a `hidden beast` number, since 6 + 228 + 28 + 4 + 400 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 117514774 + ... + 117514826.

Almost surely, 2^6228284400 is an apocalyptic number.

6228284400 is a gapful number since it is divisible by the number (60) 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 6228284400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12705311808).

6228284400 is an abundant number, since it is smaller than the sum of its proper divisors (19182339216).

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

6228284400 is a wasteful number, since it uses less digits than its factorization.

6228284400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 6228284400 is about 78919.4804848587. The cubic root of 6228284400 is about 1839.8799149733.

The spelling of 6228284400 in words is "six billion, two hundred twenty-eight million, two hundred eighty-four thousand, four hundred".