1037161728 has 108 divisors (see below), whose sum is σ = 3020678388. Its totient is φ = 342220800.

The previous prime is 1037161709. The next prime is 1037161729. The reversal of 1037161728 is 8271617301.

1037161728 is a `hidden beast` number, since 1 + 0 + 37 + 1 + 617 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 888516864 + 148644864 = 29808^2 + 12192^2 .

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 = 1037161692 and 1037161701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1037161729) 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, 230476 + ... + 234932.

Almost surely, 2^1037161728 is an apocalyptic number.

1037161728 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 1037161728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510339194).

1037161728 is an abundant number, since it is smaller than the sum of its proper divisors (1983516660).

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

1037161728 is a wasteful number, since it uses less digits than its factorization.

1037161728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4580 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1037161728 is about 32204.9953889144. The cubic root of 1037161728 is about 1012.2368903902.

The spelling of 1037161728 in words is "one billion, thirty-seven million, one hundred sixty-one thousand, seven hundred twenty-eight".