428638003200 has 1512 divisors, whose sum is σ = 1799272149480. Its totient is φ = 100329062400.

The previous prime is 428638003193. The next prime is 428638003201. The reversal of 428638003200 is 2300836824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428638003201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14780620786 + ... + 14780620814.

Almost surely, 2^428638003200 is an apocalyptic number.

428638003200 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 428638003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899636074740).

428638003200 is an abundant number, since it is smaller than the sum of its proper divisors (1370634146280).

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

428638003200 is an frugal number, since it uses more digits than its factorization.

428638003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 428638003200 in words is "four hundred twenty-eight billion, six hundred thirty-eight million, three thousand, two hundred".