1029379428 has 300 divisors, whose sum is σ = 3492079360. Its totient is φ = 258746400.

The previous prime is 1029379387. The next prime is 1029379469. The reversal of 1029379428 is 8249739201.

It is an interprime number because it is at equal distance from previous prime (1029379387) and next prime (1029379469).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 33205773 + ... + 33205803.

Almost surely, 2^1029379428 is an apocalyptic number.

1029379428 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 1029379428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746039680).

1029379428 is an abundant number, since it is smaller than the sum of its proper divisors (2462699932).

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

1029379428 is an equidigital number, since it uses as much as digits as its factorization.

1029379428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1029379428 is about 32083.9434608653. The cubic root of 1029379428 is about 1009.6987723723.

The spelling of 1029379428 in words is "one billion, twenty-nine million, three hundred seventy-nine thousand, four hundred twenty-eight".