20828000340 has 192 divisors, whose sum is σ = 74123857920. Its totient is φ = 4756268160.

The previous prime is 20828000269. The next prime is 20828000399. The reversal of 20828000340 is 4300082802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5830755 + ... + 5834325.

It is an arithmetic number, because the mean of its divisors is an integer number (386061760).

Almost surely, 2^20828000340 is an apocalyptic number.

20828000340 is a gapful number since it is divisible by the number (20) 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 20828000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37061928960).

20828000340 is an abundant number, since it is smaller than the sum of its proper divisors (53295857580).

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

20828000340 is a wasteful number, since it uses less digits than its factorization.

20828000340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 20828000340 in words is "twenty billion, eight hundred twenty-eight million, three hundred forty", and thus it is an aban number.