46028734400 has 168 divisors, whose sum is σ = 124246995600. Its totient is φ = 16644096000.

The previous prime is 46028734393. The next prime is 46028734439. The reversal of 46028734400 is 443782064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3178376 + ... + 3192824.

It is an arithmetic number, because the mean of its divisors is an integer number (739565450).

Almost surely, 2^46028734400 is an apocalyptic number.

46028734400 is a gapful number since it is divisible by the number (40) 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 46028734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62123497800).

46028734400 is an abundant number, since it is smaller than the sum of its proper divisors (78218261200).

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

46028734400 is a wasteful number, since it uses less digits than its factorization.

46028734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14663 (or 14648 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The spelling of 46028734400 in words is "forty-six billion, twenty-eight million, seven hundred thirty-four thousand, four hundred".