428795769600 has 1728 divisors, whose sum is σ = 1868680396800. Its totient is φ = 95053824000.

The previous prime is 428795769599. The next prime is 428795769617. The reversal of 428795769600 is 6967597824.

428795769600 is a `hidden beast` number, since 428 + 7 + 95 + 7 + 69 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1119571009 + ... + 1119571391.

Almost surely, 2^428795769600 is an apocalyptic number.

428795769600 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 428795769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934340198400).

428795769600 is an abundant number, since it is smaller than the sum of its proper divisors (1439884627200).

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

428795769600 is a wasteful number, since it uses less digits than its factorization.

428795769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 428795769600 in words is "four hundred twenty-eight billion, seven hundred ninety-five million, seven hundred sixty-nine thousand, six hundred".