28270507238400 has 3168 divisors, whose sum is σ = 120419837018112. Its totient is φ = 5718756556800.

The previous prime is 28270507238399. The next prime is 28270507238443. The reversal of 28270507238400 is 483270507282.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28270507238400.

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 287 ways as a sum of consecutive naturals, for example, 222602419137 + ... + 222602419263.

Almost surely, 2^{28270507238400} is an apocalyptic number.

28270507238400 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 28270507238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60209918509056).

28270507238400 is an abundant number, since it is smaller than the sum of its proper divisors (92149329779712).

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

28270507238400 is a wasteful number, since it uses less digits than its factorization.

28270507238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 28270507238400 in words is "twenty-eight trillion, two hundred seventy billion, five hundred seven million, two hundred thirty-eight thousand, four hundred".