1023561528 has 64 divisors (see below), whose sum is σ = 2811715200. Its totient is φ = 307927680.

The previous prime is 1023561523. The next prime is 1023561541. The reversal of 1023561528 is 8251653201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023561523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22750 + ... + 50642.

It is an arithmetic number, because the mean of its divisors is an integer number (43933050).

Almost surely, 2^1023561528 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 1023561528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405857600).

1023561528 is an abundant number, since it is smaller than the sum of its proper divisors (1788153672).

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

1023561528 is a wasteful number, since it uses less digits than its factorization.

1023561528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28052 (or 28048 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1023561528 is about 31993.1481414380. The cubic root of 1023561528 is about 1007.7929547669.

The spelling of 1023561528 in words is "one billion, twenty-three million, five hundred sixty-one thousand, five hundred twenty-eight".