1030028832 has 192 divisors, whose sum is σ = 3481954560. Its totient is φ = 290138112.

The previous prime is 1030028777. The next prime is 1030028843. The reversal of 1030028832 is 2388200301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1030028796 and 1030028805.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440338 + ... + 442670.

It is an arithmetic number, because the mean of its divisors is an integer number (18135180).

Almost surely, 2^1030028832 is an apocalyptic number.

1030028832 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 1030028832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740977280).

1030028832 is an abundant number, since it is smaller than the sum of its proper divisors (2451925728).

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

1030028832 is a wasteful number, since it uses less digits than its factorization.

1030028832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1030028832 is about 32094.0622545667. The cubic root of 1030028832 is about 1009.9110570960.

The spelling of 1030028832 in words is "one billion, thirty million, twenty-eight thousand, eight hundred thirty-two".