273632114028 has 768 divisors, whose sum is σ = 910393344000. Its totient is φ = 61914378240.

The previous prime is 273632114023. The next prime is 273632114033. The reversal of 273632114028 is 820411236372.

It is an interprime number because it is at equal distance from previous prime (273632114023) and next prime (273632114033).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (273632114023) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 784045998 + ... + 784046346.

It is an arithmetic number, because the mean of its divisors is an integer number (1185408000).

Almost surely, 2^273632114028 is an apocalyptic number.

273632114028 is a gapful number since it is divisible by the number (28) 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 273632114028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455196672000).

273632114028 is an abundant number, since it is smaller than the sum of its proper divisors (636761229972).

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

273632114028 is a wasteful number, since it uses less digits than its factorization.

273632114028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 273632114028 in words is "two hundred seventy-three billion, six hundred thirty-two million, one hundred fourteen thousand, twenty-eight".