13828294620 has 384 divisors, whose sum is σ = 53433139200. Its totient is φ = 2897337600.

The previous prime is 13828294603. The next prime is 13828294637. The reversal of 13828294620 is 2649282831.

13828294620 is a `hidden beast` number, since 13 + 8 + 2 + 8 + 2 + 9 + 4 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (13828294603) and next prime (13828294637).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2223315 + ... + 2229525.

It is an arithmetic number, because the mean of its divisors is an integer number (139148800).

Almost surely, 2^13828294620 is an apocalyptic number.

13828294620 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 13828294620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26716569600).

13828294620 is an abundant number, since it is smaller than the sum of its proper divisors (39604844580).

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

13828294620 is a wasteful number, since it uses less digits than its factorization.

13828294620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6286 (or 6278 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 13828294620 in words is "thirteen billion, eight hundred twenty-eight million, two hundred ninety-four thousand, six hundred twenty".