1033820928 has 288 divisors, whose sum is σ = 3649766400. Its totient is φ = 282230784.

The previous prime is 1033820927. The next prime is 1033820929. The reversal of 1033820928 is 8290283301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1033820927) and next prime (1033820929).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1033820928² = 2137571422341562368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1033820892 and 1033820901.

It is not an unprimeable number, because it can be changed into a prime (1033820923) 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, 1112368 + ... + 1113296.

It is an arithmetic number, because the mean of its divisors is an integer number (12672800).

Almost surely, 2^1033820928 is an apocalyptic number.

1033820928 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 1033820928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824883200).

1033820928 is an abundant number, since it is smaller than the sum of its proper divisors (2615945472).

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

1033820928 is an equidigital number, since it uses as much as digits as its factorization.

1033820928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1033820928 is about 32153.0858239143. The cubic root of 1033820928 is about 1011.1488831448.

The spelling of 1033820928 in words is "one billion, thirty-three million, eight hundred twenty thousand, nine hundred twenty-eight".