428997099600 has 180 divisors, whose sum is σ = 1489558180032. Its totient is φ = 114336288000.

The previous prime is 428997099569. The next prime is 428997099617. The reversal of 428997099600 is 6990799824.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×428997099600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6703755 + ... + 6767445.

Almost surely, 2^428997099600 is an apocalyptic number.

428997099600 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 428997099600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744779090016).

428997099600 is an abundant number, since it is smaller than the sum of its proper divisors (1060561080432).

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

428997099600 is a wasteful number, since it uses less digits than its factorization.

428997099600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65586 (or 65572 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 428997099600 in words is "four hundred twenty-eight billion, nine hundred ninety-seven million, ninety-nine thousand, six hundred".