28261627200 has 252 divisors, whose sum is σ = 104817050208. Its totient is φ = 7208678400.

The previous prime is 28261627189. The next prime is 28261627249. The reversal of 28261627200 is 272616282.

28261627200 is a `hidden beast` number, since 2 + 8 + 2 + 6 + 1 + 627 + 20 + 0 = 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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 288535 + ... + 373865.

Almost surely, 2^28261627200 is an apocalyptic number.

28261627200 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 28261627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52408525104).

28261627200 is an abundant number, since it is smaller than the sum of its proper divisors (76555423008).

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

28261627200 is a wasteful number, since it uses less digits than its factorization.

28261627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85382 (or 85364 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 28261627200 in words is "twenty-eight billion, two hundred sixty-one million, six hundred twenty-seven thousand, two hundred".