28514214453384 has 1536 divisors, whose sum is σ = 97518919680000. Its totient is φ = 7677711360000.

The previous prime is 28514214453379. The next prime is 28514214453409. The reversal of 28514214453384 is 48335441241582.

28514214453384 is a `hidden beast` number, since 2 + 8 + 5 + 1 + 4 + 21 + 4 + 4 + 533 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 28514214453384.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 143287509717 + ... + 143287509915.

It is an arithmetic number, because the mean of its divisors is an integer number (63488880000).

Almost surely, 2^{28514214453384} is an apocalyptic number.

28514214453384 is a gapful number since it is divisible by the number (24) 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 28514214453384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48759459840000).

28514214453384 is an abundant number, since it is smaller than the sum of its proper divisors (69004705226616).

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

28514214453384 is a wasteful number, since it uses less digits than its factorization.

28514214453384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 467 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 28514214453384 in words is "twenty-eight trillion, five hundred fourteen billion, two hundred fourteen million, four hundred fifty-three thousand, three hundred eighty-four".