428276699136000 has 7168 divisors, whose sum is σ = 2027454428563200. Its totient is φ = 88671780864000.

The previous prime is 428276699135977. The next prime is 428276699136029. The reversal of 428276699136000 is 631996672824.

428276699136000 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 7 + 6 + 6 + 9 + 9 + 13 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 7258927103971 + ... + 7258927104029.

Almost surely, 2^{428276699136000} is an apocalyptic number.

428276699136000 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 428276699136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013727214281600).

428276699136000 is an abundant number, since it is smaller than the sum of its proper divisors (1599177729427200).

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

428276699136000 is an equidigital number, since it uses as much as digits as its factorization.

428276699136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 428276699136000 in words is "four hundred twenty-eight trillion, two hundred seventy-six billion, six hundred ninety-nine million, one hundred thirty-six thousand".