1028677820 has 96 divisors (see below), whose sum is σ = 2375847936. Its totient is φ = 372556800.

The previous prime is 1028677817. The next prime is 1028677883. The reversal of 1028677820 is 287768201.

It is a congruent number.

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, 1037525 + ... + 1038515.

It is an arithmetic number, because the mean of its divisors is an integer number (24748416).

Almost surely, 2^1028677820 is an apocalyptic number.

1028677820 is a gapful number since it is divisible by the number (10) 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 1028677820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187923968).

1028677820 is an abundant number, since it is smaller than the sum of its proper divisors (1347170116).

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

1028677820 is a wasteful number, since it uses less digits than its factorization.

1028677820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The square root of 1028677820 is about 32073.0076544125. The cubic root of 1028677820 is about 1009.4693222378.

The spelling of 1028677820 in words is "one billion, twenty-eight million, six hundred seventy-seven thousand, eight hundred twenty".