28434067200 has 864 divisors, whose sum is σ = 130053342720. Its totient is φ = 5905612800.

The previous prime is 28434067199. The next prime is 28434067201. The reversal of 28434067200 is 276043482.

28434067200 is a `hidden beast` number, since 2 + 8 + 43 + 406 + 7 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (28434067199) and next prime (28434067201).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×28434067200³ (a number of 32 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (28434067201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13304532 + ... + 13306668.

Almost surely, 2^28434067200 is an apocalyptic number.

28434067200 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 28434067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65026671360).

28434067200 is an abundant number, since it is smaller than the sum of its proper divisors (101619275520).

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

28434067200 is a wasteful number, since it uses less digits than its factorization.

28434067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 28434067200 in words is "twenty-eight billion, four hundred thirty-four million, sixty-seven thousand, two hundred".