28396851350400 has 768 divisors, whose sum is σ = 112505599180800. Its totient is φ = 6953344819200.

The previous prime is 28396851350347. The next prime is 28396851350407. The reversal of 28396851350400 is 405315869382.

28396851350400 is a `hidden beast` number, since 2 + 8 + 39 + 6 + 8 + 513 + 50 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28396851350407) 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, 214465017 + ... + 214597383.

It is an arithmetic number, because the mean of its divisors is an integer number (146491665600).

Almost surely, 2^{28396851350400} is an apocalyptic number.

28396851350400 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 28396851350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56252799590400).

28396851350400 is an abundant number, since it is smaller than the sum of its proper divisors (84108747830400).

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

28396851350400 is a wasteful number, since it uses less digits than its factorization.

28396851350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132604 (or 132581 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 28396851350400 in words is "twenty-eight trillion, three hundred ninety-six billion, eight hundred fifty-one million, three hundred fifty thousand, four hundred".