28134523200 has 336 divisors, whose sum is σ = 105737867264. Its totient is φ = 6415718400.

The previous prime is 28134523187. The next prime is 28134523213. The reversal of 28134523200 is 232543182.

It is an interprime number because it is at equal distance from previous prime (28134523187) and next prime (28134523213).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21200937 + ... + 21202263.

Almost surely, 2^28134523200 is an apocalyptic number.

28134523200 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 28134523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52868933632).

28134523200 is an abundant number, since it is smaller than the sum of its proper divisors (77603344064).

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

28134523200 is a wasteful number, since it uses less digits than its factorization.

28134523200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 28134523200 in words is "twenty-eight billion, one hundred thirty-four million, five hundred twenty-three thousand, two hundred".