28321401600 has 864 divisors, whose sum is σ = 113872711680. Its totient is φ = 6856704000.

The previous prime is 28321401587. The next prime is 28321401643. The reversal of 28321401600 is 610412382.

28321401600 is a `hidden beast` number, since 28 + 32 + 1 + 4 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91065445 + ... + 91065755.

It is an arithmetic number, because the mean of its divisors is an integer number (131797120).

Almost surely, 2^28321401600 is an apocalyptic number.

28321401600 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 28321401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56936355840).

28321401600 is an abundant number, since it is smaller than the sum of its proper divisors (85551310080).

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

28321401600 is a wasteful number, since it uses less digits than its factorization.

28321401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 28321401600 its reverse (610412382), we get a palindrome (28931813982).

The spelling of 28321401600 in words is "twenty-eight billion, three hundred twenty-one million, four hundred one thousand, six hundred".