1035761328 has 120 divisors (see below), whose sum is σ = 3326239488. Its totient is φ = 294731136.

The previous prime is 1035761299. The next prime is 1035761359. The reversal of 1035761328 is 8231675301.

1035761328 is a `hidden beast` number, since 1 + 0 + 35 + 7 + 613 + 2 + 8 = 666.

It is a super-3 number, since 3×1035761328³ (a number of 28 digits) contains 333 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 = 1035761292 and 1035761301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263151 + ... + 267057.

Almost surely, 2^1035761328 is an apocalyptic number.

1035761328 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 1035761328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663119744).

1035761328 is an abundant number, since it is smaller than the sum of its proper divisors (2290478160).

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

1035761328 is a wasteful number, since it uses less digits than its factorization.

1035761328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4191 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1035761328 is about 32183.2460761807. The cubic root of 1035761328 is about 1011.7811032232.

The spelling of 1035761328 in words is "one billion, thirty-five million, seven hundred sixty-one thousand, three hundred twenty-eight".