428525820 has 72 divisors (see below), whose sum is σ = 1302721056. Its totient is φ = 114022272.

The previous prime is 428525819. The next prime is 428525827. The reversal of 428525820 is 28525824.

428525820 is a `hidden beast` number, since 4 + 28 + 52 + 582 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428525827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88174 + ... + 92906.

It is an arithmetic number, because the mean of its divisors is an integer number (18093348).

Almost surely, 2^428525820 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 428525820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651360528).

428525820 is an abundant number, since it is smaller than the sum of its proper divisors (874195236).

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

428525820 is a wasteful number, since it uses less digits than its factorization.

428525820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5251 (or 5246 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 428525820 is about 20700.8651993099. The cubic root of 428525820 is about 753.9206951515.

The spelling of 428525820 in words is "four hundred twenty-eight million, five hundred twenty-five thousand, eight hundred twenty".