428082969600 has 2112 divisors, whose sum is σ = 1903588162560. Its totient is φ = 92897280000.

The previous prime is 428082969563. The next prime is 428082969641. The reversal of 428082969600 is 6969280824.

It is a happy number.

428082969600 is a `hidden beast` number, since 4 + 2 + 8 + 0 + 8 + 29 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 6029337565 + ... + 6029337635.

Almost surely, 2^428082969600 is an apocalyptic number.

428082969600 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 428082969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951794081280).

428082969600 is an abundant number, since it is smaller than the sum of its proper divisors (1475505192960).

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

428082969600 is a wasteful number, since it uses less digits than its factorization.

428082969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 428082969600 in words is "four hundred twenty-eight billion, eighty-two million, nine hundred sixty-nine thousand, six hundred".