428120616 has 256 divisors, whose sum is σ = 1430784000. Its totient is φ = 103403520.

The previous prime is 428120611. The next prime is 428120617. The reversal of 428120616 is 616021824.

428120616 = T₁₃₈ + T₁₃₉ + ... + T₁₃₆₉.

It is not an unprimeable number, because it can be changed into a prime (428120611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3124900 + ... + 3125036.

It is an arithmetic number, because the mean of its divisors is an integer number (5589000).

Almost surely, 2^428120616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428120616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715392000).

428120616 is an abundant number, since it is smaller than the sum of its proper divisors (1002663384).

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

428120616 is a wasteful number, since it uses less digits than its factorization.

428120616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 428120616 is about 20691.0757574371. The cubic root of 428120616 is about 753.6829902834.

The spelling of 428120616 in words is "four hundred twenty-eight million, one hundred twenty thousand, six hundred sixteen".