1027428930 has 192 divisors, whose sum is σ = 3027787776. Its totient is φ = 239568000.

The previous prime is 1027428893. The next prime is 1027428973. The reversal of 1027428930 is 398247201.

1027428930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1027428930² = 2111220412401889800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3303475 + ... + 3303785.

It is an arithmetic number, because the mean of its divisors is an integer number (15769728).

Almost surely, 2^1027428930 is an apocalyptic number.

1027428930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027428930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513893888).

1027428930 is an abundant number, since it is smaller than the sum of its proper divisors (2000358846).

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

1027428930 is a wasteful number, since it uses less digits than its factorization.

1027428930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1027428930 is about 32053.5322546517. The cubic root of 1027428930 is about 1009.0606336402.

It can be divided in two parts, 10274 and 28930, that added together give a square (39204 = 198²).

The spelling of 1027428930 in words is "one billion, twenty-seven million, four hundred twenty-eight thousand, nine hundred thirty".