1141046928 has 360 divisors, whose sum is σ = 3969388800. Its totient is φ = 304432128.

The previous prime is 1141046891. The next prime is 1141046941. The reversal of 1141046928 is 8296401411.

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 = 1141046892 and 1141046901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12820708 + ... + 12820796.

It is an arithmetic number, because the mean of its divisors is an integer number (11026080).

Almost surely, 2^1141046928 is an apocalyptic number.

1141046928 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 1141046928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984694400).

1141046928 is an abundant number, since it is smaller than the sum of its proper divisors (2828341872).

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

1141046928 is a wasteful number, since it uses less digits than its factorization.

1141046928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1141046928 is about 33779.3861400707. The cubic root of 1141046928 is about 1044.9636146455.

The spelling of 1141046928 in words is "one billion, one hundred forty-one million, forty-six thousand, nine hundred twenty-eight".