428786049600 has 336 divisors, whose sum is σ = 1655032910400. Its totient is φ = 107616706560.

The previous prime is 428786049577. The next prime is 428786049623. The reversal of 428786049600 is 6940687824.

428786049600 is a `hidden beast` number, since 4 + 28 + 7 + 8 + 6 + 0 + 4 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (428786049577) and next prime (428786049623).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442471 + ... + 1026329.

Almost surely, 2^428786049600 is an apocalyptic number.

428786049600 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 428786049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827516455200).

428786049600 is an abundant number, since it is smaller than the sum of its proper divisors (1226246860800).

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

428786049600 is a wasteful number, since it uses less digits than its factorization.

428786049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583907 (or 583886 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 428786049600 in words is "four hundred twenty-eight billion, seven hundred eighty-six million, forty-nine thousand, six hundred".