1020828672 has 132 divisors (see below), whose sum is σ = 2965955616. Its totient is φ = 338165760.

The previous prime is 1020828647. The next prime is 1020828691. The reversal of 1020828672 is 2768280201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2368297 + ... + 2368727.

Almost surely, 2^1020828672 is an apocalyptic number.

1020828672 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 1020828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482977808).

1020828672 is an abundant number, since it is smaller than the sum of its proper divisors (1945126944).

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

1020828672 is a wasteful number, since it uses less digits than its factorization.

1020828672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1020828672 is about 31950.4095748396. The cubic root of 1020828672 is about 1006.8952370957.

The spelling of 1020828672 in words is "one billion, twenty million, eight hundred twenty-eight thousand, six hundred seventy-two".