28228629600 has 504 divisors, whose sum is σ = 104596821000. Its totient is φ = 7435100160.

The previous prime is 28228629581. The next prime is 28228629607. The reversal of 28228629600 is 692682282.

28228629600 is a `hidden beast` number, since 2 + 82 + 286 + 296 + 0 + 0 = 666.

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 (28228629607) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 56570151 + ... + 56570649.

It is an arithmetic number, because the mean of its divisors is an integer number (207533375).

Almost surely, 2^28228629600 is an apocalyptic number.

28228629600 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 28228629600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52298410500).

28228629600 is an abundant number, since it is smaller than the sum of its proper divisors (76368191400).

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

28228629600 is an equidigital number, since it uses as much as digits as its factorization.

28228629600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28228629600 in words is "twenty-eight billion, two hundred twenty-eight million, six hundred twenty-nine thousand, six hundred".