428032473120 has 960 divisors, whose sum is σ = 1768633574400. Its totient is φ = 95469373440.

The previous prime is 428032473059. The next prime is 428032473139. The reversal of 428032473120 is 21374230824.

It is a happy number.

428032473120 is a `hidden beast` number, since 4 + 280 + 324 + 7 + 31 + 20 = 666.

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 159 ways as a sum of consecutive naturals, for example, 1129373091 + ... + 1129373469.

It is an arithmetic number, because the mean of its divisors is an integer number (1842326640).

Almost surely, 2^428032473120 is an apocalyptic number.

428032473120 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 428032473120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884316787200).

428032473120 is an abundant number, since it is smaller than the sum of its proper divisors (1340601101280).

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

428032473120 is a wasteful number, since it uses less digits than its factorization.

428032473120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 428032473120 in words is "four hundred twenty-eight billion, thirty-two million, four hundred seventy-three thousand, one hundred twenty".