28345827846400 has 243 divisors, whose sum is σ = 71394817658619. Its totient is φ = 11142234624000.

The previous prime is 28345827846397. The next prime is 28345827846449. The reversal of 28345827846400 is 464872854382.

It is a happy number.

The square root of 28345827846400 is 5324080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13056601745664 + 15289226100736 = 3613392^2 + 3910144^2 .

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25981509855 + ... + 25981510945.

Almost surely, 2^{28345827846400} is an apocalyptic number.

28345827846400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28345827846400 is the 5324080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28345827846400

28345827846400 is an abundant number, since it is smaller than the sum of its proper divisors (43048989812219).

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

28345827846400 is an frugal number, since it uses more digits than its factorization.

28345827846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 61.

The spelling of 28345827846400 in words is "twenty-eight trillion, three hundred forty-five billion, eight hundred twenty-seven million, eight hundred forty-six thousand, four hundred".