1928528420 has 192 divisors, whose sum is σ = 5249664000. Its totient is φ = 578672640.

The previous prime is 1928528387. The next prime is 1928528429. The reversal of 1928528420 is 248258291.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1928528429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3219281 + ... + 3219879.

It is an arithmetic number, because the mean of its divisors is an integer number (27342000).

Almost surely, 2^1928528420 is an apocalyptic number.

1928528420 is a gapful number since it is divisible by the number (10) 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 1928528420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624832000).

1928528420 is an abundant number, since it is smaller than the sum of its proper divisors (3321135580).

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

1928528420 is a wasteful number, since it uses less digits than its factorization.

1928528420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The square root of 1928528420 is about 43915.0136058273. The cubic root of 1928528420 is about 1244.7305471074.

The spelling of 1928528420 in words is "one billion, nine hundred twenty-eight million, five hundred twenty-eight thousand, four hundred twenty".