28394012934144 has 1152 divisors, whose sum is σ = 104075384716800. Its totient is φ = 7521813135360.

The previous prime is 28394012934137. The next prime is 28394012934173. The reversal of 28394012934144 is 44143921049382.

28394012934144 is a `hidden beast` number, since 2 + 8 + 3 + 9 + 401 + 2 + 93 + 4 + 144 = 666.

28394012934144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9615309372 + ... + 9615312324.

It is an arithmetic number, because the mean of its divisors is an integer number (90343215900).

Almost surely, 2^{28394012934144} is an apocalyptic number.

28394012934144 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 28394012934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52037692358400).

28394012934144 is an abundant number, since it is smaller than the sum of its proper divisors (75681371782656).

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

28394012934144 is a wasteful number, since it uses less digits than its factorization.

28394012934144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 28394012934144 in words is "twenty-eight trillion, three hundred ninety-four billion, twelve million, nine hundred thirty-four thousand, one hundred forty-four".