428159520 has 120 divisors (see below), whose sum is σ = 1511092044. Its totient is φ = 114172416.

The previous prime is 428159497. The next prime is 428159531. The reversal of 428159520 is 25951824.

428159520 is a `hidden beast` number, since 4 + 2 + 81 + 59 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 349091856 + 79067664 = 18684^2 + 8892^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3559 + ... + 29478.

Almost surely, 2^428159520 is an apocalyptic number.

428159520 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 428159520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755546022).

428159520 is an abundant number, since it is smaller than the sum of its proper divisors (1082932524).

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

428159520 is a wasteful number, since it uses less digits than its factorization.

428159520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33064 (or 33047 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 428159520 is about 20692.0158515308. The cubic root of 428159520 is about 753.7058190485.

The spelling of 428159520 in words is "four hundred twenty-eight million, one hundred fifty-nine thousand, five hundred twenty".