28273679240400 has 1200 divisors, whose sum is σ = 112161318591168. Its totient is φ = 6764083200000.

The previous prime is 28273679240399. The next prime is 28273679240431. The reversal of 28273679240400 is 404297637282.

28273679240400 is a `hidden beast` number, since 2 + 82 + 7 + 36 + 7 + 92 + 40 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10108571802 + ... + 10108574598.

Almost surely, 2^{28273679240400} is an apocalyptic number.

28273679240400 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 28273679240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56080659295584).

28273679240400 is an abundant number, since it is smaller than the sum of its proper divisors (83887639350768).

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

28273679240400 is a wasteful number, since it uses less digits than its factorization.

28273679240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 28273679240400 in words is "twenty-eight trillion, two hundred seventy-three billion, six hundred seventy-nine million, two hundred forty thousand, four hundred".