1019605728 has 96 divisors (see below), whose sum is σ = 2740137120. Its totient is φ = 331868160.

The previous prime is 1019605711. The next prime is 1019605739. The reversal of 1019605728 is 8275069101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 918838 + ... + 919946.

It is an arithmetic number, because the mean of its divisors is an integer number (28543095).

Almost surely, 2^1019605728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1019605728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370068560).

1019605728 is an abundant number, since it is smaller than the sum of its proper divisors (1720531392).

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

1019605728 is a wasteful number, since it uses less digits than its factorization.

1019605728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 1019605728 is about 31931.2656811471. The cubic root of 1019605728 is about 1006.4929924695.

The spelling of 1019605728 in words is "one billion, nineteen million, six hundred five thousand, seven hundred twenty-eight".