428723363520 has 672 divisors, whose sum is σ = 1596178980864. Its totient is φ = 105309388800.

The previous prime is 428723363513. The next prime is 428723363531. The reversal of 428723363520 is 25363327824.

428723363520 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 2 + 3 + 3 + 635 + 2 + 0 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 577016269 + ... + 577017011.

Almost surely, 2^428723363520 is an apocalyptic number.

428723363520 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 428723363520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798089490432).

428723363520 is an abundant number, since it is smaller than the sum of its proper divisors (1167455617344).

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

428723363520 is a wasteful number, since it uses less digits than its factorization.

428723363520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 428723363520 in words is "four hundred twenty-eight billion, seven hundred twenty-three million, three hundred sixty-three thousand, five hundred twenty".