46028640 has 288 divisors, whose sum is σ = 179262720. Its totient is φ = 9870336.

The previous prime is 46028627. The next prime is 46028641. The reversal of 46028640 is 4682064.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 46028598 and 46028607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46028641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446829 + ... + 446931.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 2^46028640 is an apocalyptic number.

46028640 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 46028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

46028640 is an abundant number, since it is smaller than the sum of its proper divisors (133234080).

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

46028640 is a wasteful number, since it uses less digits than its factorization.

46028640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 46028640 is about 6784.4410234005. The cubic root of 46028640 is about 358.3791328997.

The spelling of 46028640 in words is "forty-six million, twenty-eight thousand, six hundred forty".