1050049728 has 504 divisors, whose sum is σ = 3944648448. Its totient is φ = 260941824.

The previous prime is 1050049711. The next prime is 1050049733. The reversal of 1050049728 is 8279400501.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1050049728² = 2205208862545747968, which contains 22 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 = 1050049692 and 1050049701.

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, 15672351 + ... + 15672417.

Almost surely, 2^1050049728 is an apocalyptic number.

1050049728 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 1050049728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972324224).

1050049728 is an abundant number, since it is smaller than the sum of its proper divisors (2894598720).

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

1050049728 is a wasteful number, since it uses less digits than its factorization.

1050049728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1050049728 is about 32404.4708026531. The cubic root of 1050049728 is about 1016.4124020720.

The spelling of 1050049728 in words is "one billion, fifty million, forty-nine thousand, seven hundred twenty-eight".