1928535264 has 192 divisors, whose sum is σ = 6126624000. Its totient is φ = 587865600.

The previous prime is 1928535263. The next prime is 1928535269. The reversal of 1928535264 is 4625358291.

1928535264 is a `hidden beast` number, since 1 + 92 + 8 + 535 + 26 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1928535263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474039 + ... + 478089.

It is an arithmetic number, because the mean of its divisors is an integer number (31909500).

Almost surely, 2^1928535264 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 1928535264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063312000).

1928535264 is an abundant number, since it is smaller than the sum of its proper divisors (4198088736).

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

1928535264 is a wasteful number, since it uses less digits than its factorization.

1928535264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4104 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 1928535264 is about 43915.0915289949. The cubic root of 1928535264 is about 1244.7320195472.

The spelling of 1928535264 in words is "one billion, nine hundred twenty-eight million, five hundred thirty-five thousand, two hundred sixty-four".