28209496946400 has 5184 divisors, whose sum is σ = 139417636700160. Its totient is φ = 5431878144000.

The previous prime is 28209496946399. The next prime is 28209496946417. The reversal of 28209496946400 is 464969490282.

28209496946400 is a `hidden beast` number, since 2 + 8 + 20 + 94 + 9 + 69 + 464 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 863 ways as a sum of consecutive naturals, for example, 222122023137 + ... + 222122023263.

It is an arithmetic number, because the mean of its divisors is an integer number (26893834240).

Almost surely, 2^{28209496946400} is an apocalyptic number.

28209496946400 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 28209496946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69708818350080).

28209496946400 is an abundant number, since it is smaller than the sum of its proper divisors (111208139753760).

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

28209496946400 is a wasteful number, since it uses less digits than its factorization.

28209496946400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 28209496946400 in words is "twenty-eight trillion, two hundred nine billion, four hundred ninety-six million, nine hundred forty-six thousand, four hundred".