28342364400 has 600 divisors, whose sum is σ = 117791461360. Its totient is φ = 6472327680.

The previous prime is 28342364341. The next prime is 28342364411. The reversal of 28342364400 is 446324382.

28342364400 is a `hidden beast` number, since 2 + 8 + 3 + 4 + 2 + 3 + 644 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25930254 + ... + 25931346.

Almost surely, 2^28342364400 is an apocalyptic number.

28342364400 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 28342364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58895730680).

28342364400 is an abundant number, since it is smaller than the sum of its proper divisors (89449096960).

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

28342364400 is a wasteful number, since it uses less digits than its factorization.

28342364400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 28342364400 its reverse (446324382), we get a palindrome (28788688782).

The spelling of 28342364400 in words is "twenty-eight billion, three hundred forty-two million, three hundred sixty-four thousand, four hundred".