46428720 has 160 divisors (see below), whose sum is σ = 161989632. Its totient is φ = 10914816.

The previous prime is 46428713. The next prime is 46428721. The reversal of 46428720 is 2782464.

It is not an unprimeable number, because it can be changed into a prime (46428721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71437 + ... + 72083.

Almost surely, 2^46428720 is an apocalyptic number.

46428720 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 46428720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80994816).

46428720 is an abundant number, since it is smaller than the sum of its proper divisors (115560912).

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

46428720 is a wasteful number, since it uses less digits than its factorization.

46428720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 46428720 is about 6813.8623408460. The cubic root of 46428720 is about 359.4144803003.

The spelling of 46428720 in words is "forty-six million, four hundred twenty-eight thousand, seven hundred twenty".