428675273771328 has 336 divisors, whose sum is σ = 1322699018344704. Its totient is φ = 132244327710720.

The previous prime is 428675273771231. The next prime is 428675273771431. The reversal of 428675273771328 is 823177372576824.

428675273771328 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 7 + 527 + 3 + 7 + 71 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 2154404901 + ... + 2154603867.

It is an arithmetic number, because the mean of its divisors is an integer number (3936604221264).

Almost surely, 2^{428675273771328} is an apocalyptic number.

428675273771328 is a gapful number since it is divisible by the number (48) 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 428675273771328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661349509172352).

428675273771328 is an abundant number, since it is smaller than the sum of its proper divisors (894023744573376).

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

428675273771328 is a wasteful number, since it uses less digits than its factorization.

428675273771328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202670 (or 202657 counting only the distinct ones).

The product of its digits is 1327656960, while the sum is 72.

The spelling of 428675273771328 in words is "four hundred twenty-eight trillion, six hundred seventy-five billion, two hundred seventy-three million, seven hundred seventy-one thousand, three hundred twenty-eight".