28275350400 has 960 divisors, whose sum is σ = 116800738560. Its totient is φ = 6676992000.

The previous prime is 28275350371. The next prime is 28275350423. The reversal of 28275350400 is 405357282.

28275350400 is a `hidden beast` number, since 2 + 82 + 7 + 535 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 134006295 + ... + 134006505.

It is an arithmetic number, because the mean of its divisors is an integer number (121667436).

Almost surely, 2^28275350400 is an apocalyptic number.

28275350400 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 28275350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58400369280).

28275350400 is an abundant number, since it is smaller than the sum of its proper divisors (88525388160).

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

28275350400 is a wasteful number, since it uses less digits than its factorization.

28275350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 28275350400 in words is "twenty-eight billion, two hundred seventy-five million, three hundred fifty thousand, four hundred".