28277827200 has 1152 divisors, whose sum is σ = 125961937920. Its totient is φ = 5892341760.

The previous prime is 28277827199. The next prime is 28277827271. The reversal of 28277827200 is 272877282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×28277827200² (a number of 22 digits) contains 22 as substring.

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

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 143 ways as a sum of consecutive naturals, for example, 126806289 + ... + 126806511.

It is an arithmetic number, because the mean of its divisors is an integer number (109341960).

Almost surely, 2^28277827200 is an apocalyptic number.

28277827200 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 28277827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62980968960).

28277827200 is an abundant number, since it is smaller than the sum of its proper divisors (97684110720).

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

28277827200 is a wasteful number, since it uses less digits than its factorization.

28277827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 28277827200 in words is "twenty-eight billion, two hundred seventy-seven million, eight hundred twenty-seven thousand, two hundred".