428929416741 has 64 divisors (see below), whose sum is σ = 670620082176. Its totient is φ = 238774003200.

The previous prime is 428929416697. The next prime is 428929416749. The reversal of 428929416741 is 147614929824.

It is not a de Polignac number, because 428929416741 - 2¹³ = 428929408549 is a prime.

It is a super-2 number, since 2×428929416741² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428929416749) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 280162146 + ... + 280163676.

It is an arithmetic number, because the mean of its divisors is an integer number (10478438784).

Almost surely, 2^428929416741 is an apocalyptic number.

It is an amenable number.

428929416741 is a deficient number, since it is larger than the sum of its proper divisors (241690665435).

428929416741 is a wasteful number, since it uses less digits than its factorization.

428929416741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722.

The product of its digits is 6967296, while the sum is 57.

The spelling of 428929416741 in words is "four hundred twenty-eight billion, nine hundred twenty-nine million, four hundred sixteen thousand, seven hundred forty-one".