428115454167408 has 160 divisors (see below), whose sum is σ = 1272155906810880. Its totient is φ = 121525718446080.

The previous prime is 428115454167397. The next prime is 428115454167451. The reversal of 428115454167408 is 804761454511824.

It is a Sastry number since concatenated with its successor gives a square.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465815848 + ... + 466734008.

It is an arithmetic number, because the mean of its divisors is an integer number (7950974417568).

Almost surely, 2^{428115454167408} is an apocalyptic number.

428115454167408 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 428115454167408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636077953405440).

428115454167408 is an abundant number, since it is smaller than the sum of its proper divisors (844040452643472).

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

428115454167408 is a wasteful number, since it uses less digits than its factorization.

428115454167408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927175 (or 927169 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 60.

The spelling of 428115454167408 in words is "four hundred twenty-eight trillion, one hundred fifteen billion, four hundred fifty-four million, one hundred sixty-seven thousand, four hundred eight".