428613658200 has 576 divisors, whose sum is σ = 1791569707200. Its totient is φ = 89413632000.

The previous prime is 428613658139. The next prime is 428613658243. The reversal of 428613658200 is 2856316824.

428613658200 is a `hidden beast` number, since 4 + 2 + 8 + 61 + 3 + 6 + 582 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14563500 + ... + 14592900.

It is an arithmetic number, because the mean of its divisors is an integer number (3110364075).

Almost surely, 2^428613658200 is an apocalyptic number.

428613658200 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 428613658200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895784853600).

428613658200 is an abundant number, since it is smaller than the sum of its proper divisors (1362956049000).

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

428613658200 is a wasteful number, since it uses less digits than its factorization.

428613658200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29532 (or 29520 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 428613658200 in words is "four hundred twenty-eight billion, six hundred thirteen million, six hundred fifty-eight thousand, two hundred".