428017917600 has 1296 divisors, whose sum is σ = 1929245520384. Its totient is φ = 87340032000.

The previous prime is 428017917583. The next prime is 428017917611. The reversal of 428017917600 is 6719710824.

It is a happy number.

428017917600 is a `hidden beast` number, since 4 + 28 + 0 + 1 + 7 + 9 + 17 + 600 = 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 215 ways as a sum of consecutive naturals, for example, 264044790 + ... + 264046410.

Almost surely, 2^428017917600 is an apocalyptic number.

428017917600 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 428017917600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964622760192).

428017917600 is an abundant number, since it is smaller than the sum of its proper divisors (1501227602784).

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

428017917600 is a wasteful number, since it uses less digits than its factorization.

428017917600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 428017917600 in words is "four hundred twenty-eight billion, seventeen million, nine hundred seventeen thousand, six hundred".