1041157728 has 72 divisors (see below), whose sum is σ = 3188557008. Its totient is φ = 320355072.

The previous prime is 1041157717. The next prime is 1041157729. The reversal of 1041157728 is 8277511401.

1041157728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 1041157692 and 1041157701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041157729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135300 + ... + 142787.

It is an arithmetic number, because the mean of its divisors is an integer number (44285514).

Almost surely, 2^1041157728 is an apocalyptic number.

1041157728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1041157728 is an abundant number, since it is smaller than the sum of its proper divisors (2147399280).

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

1041157728 is a wasteful number, since it uses less digits than its factorization.

1041157728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278116 (or 278105 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 1041157728 is about 32266.9758111912. The cubic root of 1041157728 is about 1013.5352140868.

The spelling of 1041157728 in words is "one billion, forty-one million, one hundred fifty-seven thousand, seven hundred twenty-eight".