28438656249600 has 864 divisors, whose sum is σ = 110160290956800. Its totient is φ = 7253836001280.

The previous prime is 28438656249587. The next prime is 28438656249611. The reversal of 28438656249600 is 694265683482.

It is a happy number.

28438656249600 is a `hidden beast` number, since 2 + 8 + 4 + 3 + 8 + 6 + 562 + 4 + 9 + 60 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 321882231 + ... + 321970569.

Almost surely, 2^{28438656249600} is an apocalyptic number.

28438656249600 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 28438656249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55080145478400).

28438656249600 is an abundant number, since it is smaller than the sum of its proper divisors (81721634707200).

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

28438656249600 is an frugal number, since it uses more digits than its factorization.

28438656249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88409 (or 88372 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 28438656249600 in words is "twenty-eight trillion, four hundred thirty-eight billion, six hundred fifty-six million, two hundred forty-nine thousand, six hundred".