428154275520 has 224 divisors, whose sum is σ = 1511205105600. Its totient is φ = 114116124672.

The previous prime is 428154275477. The next prime is 428154275531. The reversal of 428154275520 is 25572451824.

428154275520 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 54 + 2 + 75 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18452086 + ... + 18475274.

Almost surely, 2^428154275520 is an apocalyptic number.

428154275520 is a gapful number since it is divisible by the number (40) 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 428154275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755602552800).

428154275520 is an abundant number, since it is smaller than the sum of its proper divisors (1083050830080).

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

428154275520 is a wasteful number, since it uses less digits than its factorization.

428154275520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25352 (or 25336 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 428154275520 in words is "four hundred twenty-eight billion, one hundred fifty-four million, two hundred seventy-five thousand, five hundred twenty".