28586131200 has 756 divisors, whose sum is σ = 115935970248. Its totient is φ = 6917529600.

The previous prime is 28586131183. The next prime is 28586131229. The reversal of 28586131200 is 213168582.

It is a happy number.

28586131200 is a `hidden beast` number, since 28 + 5 + 8 + 613 + 12 + 0 + 0 = 666.

It is a super-2 number, since 2×28586131200² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 51321322 + ... + 51321878.

It is an arithmetic number, because the mean of its divisors is an integer number (153354458).

Almost surely, 2^28586131200 is an apocalyptic number.

28586131200 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 28586131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57967985124).

28586131200 is an abundant number, since it is smaller than the sum of its proper divisors (87349839048).

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

28586131200 is an equidigital number, since it uses as much as digits as its factorization.

28586131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 28586131200 its reverse (213168582), we get a palindrome (28799299782).

The spelling of 28586131200 in words is "twenty-eight billion, five hundred eighty-six million, one hundred thirty-one thousand, two hundred".