1028814150 has 384 divisors, whose sum is σ = 3419781120. Its totient is φ = 198696960.

The previous prime is 1028814139. The next prime is 1028814151. The reversal of 1028814150 is 514188201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028814151) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9104494 + ... + 9104606.

It is an arithmetic number, because the mean of its divisors is an integer number (8905680).

Almost surely, 2^1028814150 is an apocalyptic number.

1028814150 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 1028814150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709890560).

1028814150 is an abundant number, since it is smaller than the sum of its proper divisors (2390966970).

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

1028814150 is a wasteful number, since it uses less digits than its factorization.

1028814150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 1028814150 is about 32075.1328913849. The cubic root of 1028814150 is about 1009.5139150380.

The spelling of 1028814150 in words is "one billion, twenty-eight million, eight hundred fourteen thousand, one hundred fifty".