28414494451200 has 1920 divisors, whose sum is σ = 115485216473088. Its totient is φ = 6064128000000.

The previous prime is 28414494451193. The next prime is 28414494451223. The reversal of 28414494451200 is 215449441482.

It is a tau number, because it is divible by the number of its divisors (1920).

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 28414494451200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12086130025 + ... + 12086132375.

Almost surely, 2^{28414494451200} is an apocalyptic number.

28414494451200 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 28414494451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57742608236544).

28414494451200 is an abundant number, since it is smaller than the sum of its proper divisors (87070722021888).

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

28414494451200 is a wasteful number, since it uses less digits than its factorization.

28414494451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 28414494451200 in words is "twenty-eight trillion, four hundred fourteen billion, four hundred ninety-four million, four hundred fifty-one thousand, two hundred".