28342234483200 has 1440 divisors, whose sum is σ = 113357220387840. Its totient is φ = 6703671705600.

The previous prime is 28342234483187. The next prime is 28342234483207. The reversal of 28342234483200 is 238443224382.

It is a happy number.

28342234483200 is a `hidden beast` number, since 2 + 8 + 3 + 4 + 22 + 344 + 83 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (28342234483207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27813772291 + ... + 27813773309.

It is an arithmetic number, because the mean of its divisors is an integer number (78720291936).

Almost surely, 2^{28342234483200} is an apocalyptic number.

28342234483200 is a gapful number since it is divisible by the number (20) 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 28342234483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56678610193920).

28342234483200 is an abundant number, since it is smaller than the sum of its proper divisors (85014985904640).

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

28342234483200 is a wasteful number, since it uses less digits than its factorization.

28342234483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 28342234483200 in words is "twenty-eight trillion, three hundred forty-two billion, two hundred thirty-four million, four hundred eighty-three thousand, two hundred".