428553520848 has 560 divisors, whose sum is σ = 1338318865920. Its totient is φ = 132582168576.

The previous prime is 428553520831. The next prime is 428553520883. The reversal of 428553520848 is 848025355824.

428553520848 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 535 + 20 + 84 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 428553520794 and 428553520803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1547124486 + ... + 1547124762.

Almost surely, 2^428553520848 is an apocalyptic number.

428553520848 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 428553520848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669159432960).

428553520848 is an abundant number, since it is smaller than the sum of its proper divisors (909765345072).

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

428553520848 is a wasteful number, since it uses less digits than its factorization.

428553520848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 428553520848 in words is "four hundred twenty-eight billion, five hundred fifty-three million, five hundred twenty thousand, eight hundred forty-eight".