28241690400 has 864 divisors, whose sum is σ = 125484218496. Its totient is φ = 5854464000.

The previous prime is 28241690381. The next prime is 28241690467. The reversal of 28241690400 is 409614282.

28241690400 is a `hidden beast` number, since 2 + 8 + 241 + 6 + 9 + 0 + 400 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67082190 + ... + 67082610.

It is an arithmetic number, because the mean of its divisors is an integer number (145236364).

Almost surely, 2^28241690400 is an apocalyptic number.

28241690400 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 28241690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62742109248).

28241690400 is an abundant number, since it is smaller than the sum of its proper divisors (97242528096).

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

28241690400 is a wasteful number, since it uses less digits than its factorization.

28241690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

It can be divided in two parts, 282416 and 90400, that added together give a triangular number (372816 = T₈₆₃).

The spelling of 28241690400 in words is "twenty-eight billion, two hundred forty-one million, six hundred ninety thousand, four hundred".