427453775382528 has 576 divisors, whose sum is σ = 1361695554273600. Its totient is φ = 134102739124224.

The previous prime is 427453775382527. The next prime is 427453775382563. The reversal of 427453775382528 is 825283577354724.

427453775382528 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 5 + 37 + 7 + 538 + 2 + 52 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (427453775382527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1294258951 + ... + 1294589177.

It is an arithmetic number, because the mean of its divisors is an integer number (2364054781725).

Almost surely, 2^{427453775382528} is an apocalyptic number.

427453775382528 is a gapful number since it is divisible by the number (48) 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 427453775382528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680847777136800).

427453775382528 is an abundant number, since it is smaller than the sum of its proper divisors (934241778891072).

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

427453775382528 is an frugal number, since it uses more digits than its factorization.

427453775382528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330304 (or 330249 counting only the distinct ones).

The product of its digits is 3161088000, while the sum is 72.

The spelling of 427453775382528 in words is "four hundred twenty-seven trillion, four hundred fifty-three billion, seven hundred seventy-five million, three hundred eighty-two thousand, five hundred twenty-eight".