503428087293768 has 240 divisors, whose sum is σ = 1766454782718780. Its totient is φ = 132772242693888.

The previous prime is 503428087293757. The next prime is 503428087293779. The reversal of 503428087293768 is 867392780824305.

503428087293768 is a `hidden beast` number, since 50 + 3 + 4 + 280 + 8 + 7 + 293 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (503428087293757) and next prime (503428087293779).

It can be written as a sum of positive squares in 2 ways, for example, as 356605380464004 + 146822706829764 = 18883998^2 + 12117042^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 503428087293696 and 503428087293705.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 609395071 + ... + 610220622.

Almost surely, 2^{503428087293768} is an apocalyptic number.

It is an amenable number.

503428087293768 is an abundant number, since it is smaller than the sum of its proper divisors (1263026695425012).

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

503428087293768 is a wasteful number, since it uses less digits than its factorization.

503428087293768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219615738 (or 1219615718 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 503428087293768 in words is "five hundred three trillion, four hundred twenty-eight billion, eighty-seven million, two hundred ninety-three thousand, seven hundred sixty-eight".