1010137728 has 64 divisors (see below), whose sum is σ = 2769765120. Its totient is φ = 325847040.

The previous prime is 1010137721. The next prime is 1010137741. The reversal of 1010137728 is 8277310101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1010137695 and 1010137704.

It is not an unprimeable number, because it can be changed into a prime (1010137721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30525 + ... + 54332.

It is an arithmetic number, because the mean of its divisors is an integer number (43277580).

Almost surely, 2^1010137728 is an apocalyptic number.

It is an amenable number.

1010137728 is an abundant number, since it is smaller than the sum of its proper divisors (1759627392).

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

1010137728 is an equidigital number, since it uses as much as digits as its factorization.

1010137728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84905 (or 84893 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 1010137728 is about 31782.6639537972. The cubic root of 1010137728 is about 1003.3678872684.

Adding to 1010137728 its reverse (8277310101), we get a palindrome (9287447829).

The spelling of 1010137728 in words is "one billion, ten million, one hundred thirty-seven thousand, seven hundred twenty-eight".