428199905952 has 960 divisors, whose sum is σ = 1614442604544. Its totient is φ = 108301639680.

The previous prime is 428199905951. The next prime is 428199905989. The reversal of 428199905952 is 259509991824.

428199905952 is a `hidden beast` number, since 4 + 28 + 19 + 9 + 9 + 0 + 595 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 428199905952.

It is not an unprimeable number, because it can be changed into a prime (428199905951) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1147988838 + ... + 1147989210.

Almost surely, 2^428199905952 is an apocalyptic number.

428199905952 is a gapful number since it is divisible by the number (42) 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 428199905952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807221302272).

428199905952 is an abundant number, since it is smaller than the sum of its proper divisors (1186242698592).

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

428199905952 is a wasteful number, since it uses less digits than its factorization.

428199905952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 428199905952 in words is "four hundred twenty-eight billion, one hundred ninety-nine million, nine hundred five thousand, nine hundred fifty-two".