278728605040032 has 864 divisors, whose sum is σ = 960036692719104. Its totient is φ = 76402148659200.

The previous prime is 278728605040027. The next prime is 278728605040037. The reversal of 278728605040032 is 230040506827872.

278728605040032 is a `hidden beast` number, since 2 + 7 + 8 + 7 + 28 + 605 + 0 + 4 + 0 + 0 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (278728605040027) and next prime (278728605040037).

It is a super-2 number, since 2×278728605040032² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (278728605040037) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31662906543 + ... + 31662915345.

It is an arithmetic number, because the mean of its divisors is an integer number (1111153579536).

Almost surely, 2^{278728605040032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 278728605040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480018346359552).

278728605040032 is an abundant number, since it is smaller than the sum of its proper divisors (681308087679072).

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

278728605040032 is a wasteful number, since it uses less digits than its factorization.

278728605040032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9482 (or 9464 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 278728605040032 in words is "two hundred seventy-eight trillion, seven hundred twenty-eight billion, six hundred five million, forty thousand, thirty-two".