28494639950400 has 1344 divisors, whose sum is σ = 119909535298560. Its totient is φ = 6601293987840.

The previous prime is 28494639950393. The next prime is 28494639950453. The reversal of 28494639950400 is 405993649482.

28494639950400 is a `hidden beast` number, since 2 + 8 + 4 + 94 + 6 + 3 + 99 + 50 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 773304777 + ... + 773341623.

It is an arithmetic number, because the mean of its divisors is an integer number (89218404240).

Almost surely, 2^{28494639950400} is an apocalyptic number.

28494639950400 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 28494639950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59954767649280).

28494639950400 is an abundant number, since it is smaller than the sum of its proper divisors (91414895348160).

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

28494639950400 is a wasteful number, since it uses less digits than its factorization.

28494639950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36920 (or 36887 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 28494639950400 in words is "twenty-eight trillion, four hundred ninety-four billion, six hundred thirty-nine million, nine hundred fifty thousand, four hundred".