1023993828 has 288 divisors, whose sum is σ = 3320553600. Its totient is φ = 261999360.

The previous prime is 1023993823. The next prime is 1023993869. The reversal of 1023993828 is 8283993201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023993821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35310118 + ... + 35310146.

It is an arithmetic number, because the mean of its divisors is an integer number (11529700).

Almost surely, 2^1023993828 is an apocalyptic number.

1023993828 is a gapful number since it is divisible by the number (18) 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 1023993828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660276800).

1023993828 is an abundant number, since it is smaller than the sum of its proper divisors (2296559772).

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

1023993828 is a wasteful number, since it uses less digits than its factorization.

1023993828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1023993828 is about 31999.9035623547. The cubic root of 1023993828 is about 1007.9348148512.

The spelling of 1023993828 in words is "one billion, twenty-three million, nine hundred ninety-three thousand, eight hundred twenty-eight".