28432401123200 has 192 divisors, whose sum is σ = 72173109628320. Its totient is φ = 11059769548800.

The previous prime is 28432401123169. The next prime is 28432401123233. The reversal of 28432401123200 is 232110423482.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228805085 + ... + 228929315.

Almost surely, 2^{28432401123200} is an apocalyptic number.

28432401123200 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 28432401123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36086554814160).

28432401123200 is an abundant number, since it is smaller than the sum of its proper divisors (43740708505120).

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

28432401123200 is a wasteful number, since it uses less digits than its factorization.

28432401123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126225 (or 126208 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 28432401123200 its reverse (232110423482), we get a palindrome (28664511546682).

The spelling of 28432401123200 in words is "twenty-eight trillion, four hundred thirty-two billion, four hundred one million, one hundred twenty-three thousand, two hundred".