1019828832 has 192 divisors, whose sum is σ = 3077222400. Its totient is φ = 292723200.

The previous prime is 1019828767. The next prime is 1019828833. The reversal of 1019828832 is 2388289101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1019828833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4833207 + ... + 4833417.

It is an arithmetic number, because the mean of its divisors is an integer number (16027200).

Almost surely, 2^1019828832 is an apocalyptic number.

1019828832 is a gapful number since it is divisible by the number (12) 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 1019828832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538611200).

1019828832 is an abundant number, since it is smaller than the sum of its proper divisors (2057393568).

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

1019828832 is a wasteful number, since it uses less digits than its factorization.

1019828832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 1019828832 is about 31934.7589939238. The cubic root of 1019828832 is about 1006.5663986990.

The spelling of 1019828832 in words is "one billion, nineteen million, eight hundred twenty-eight thousand, eight hundred thirty-two".