46240128 has 192 divisors, whose sum is σ = 150368400. Its totient is φ = 13516800.

The previous prime is 46240109. The next prime is 46240133. The reversal of 46240128 is 82104264.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×46240128³ (a number of 24 digits) contains 333 as substring.

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, 519508 + ... + 519596.

Almost surely, 2^46240128 is an apocalyptic number.

46240128 is a gapful number since it is divisible by the number (48) 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 46240128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75184200).

46240128 is an abundant number, since it is smaller than the sum of its proper divisors (104128272).

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

46240128 is a wasteful number, since it uses less digits than its factorization.

46240128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 46240128 is about 6800.0094117582. The cubic root of 46240128 is about 358.9271764619.

The spelling of 46240128 in words is "forty-six million, two hundred forty thousand, one hundred twenty-eight".